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Finding the Third Proportional to 10.53 and 23.14

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Solution

The third proportional to 10.53 and 23.14 is: 50.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.53 : 23.14 = 23.14 : x
  2. Step 2: Convert to fraction form
    10.53/23.14 = 23.14/x
  3. Step 3: Cross multiply
    10.53x = 23.14 × 23.14
  4. Step 4: Simplify right side
    10.53x = 535.51
  5. Step 5: Solve for x
    x = 535.51/10.53
  6. Step 6: Final answer
    x = 50.83

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.