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Finding the Third Proportional to 10.13 and 23.10

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Solution

The third proportional to 10.13 and 23.10 is: 52.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.13 : 23.10 = 23.10 : x
  2. Step 2: Convert to fraction form
    10.13/23.10 = 23.10/x
  3. Step 3: Cross multiply
    10.13x = 23.10 × 23.10
  4. Step 4: Simplify right side
    10.13x = 533.50
  5. Step 5: Solve for x
    x = 533.50/10.13
  6. Step 6: Final answer
    x = 52.69

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.