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Finding the Third Proportional to 10.75 and 23.13

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Solution

The third proportional to 10.75 and 23.13 is: 49.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.75 : 23.13 = 23.13 : x
  2. Step 2: Convert to fraction form
    10.75/23.13 = 23.13/x
  3. Step 3: Cross multiply
    10.75x = 23.13 × 23.13
  4. Step 4: Simplify right side
    10.75x = 534.77
  5. Step 5: Solve for x
    x = 534.77/10.75
  6. Step 6: Final answer
    x = 49.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.