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Finding the Third Proportional to 10.13 and 16.31

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Solution

The third proportional to 10.13 and 16.31 is: 26.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.13 : 16.31 = 16.31 : x
  2. Step 2: Convert to fraction form
    10.13/16.31 = 16.31/x
  3. Step 3: Cross multiply
    10.13x = 16.31 × 16.31
  4. Step 4: Simplify right side
    10.13x = 266.10
  5. Step 5: Solve for x
    x = 266.10/10.13
  6. Step 6: Final answer
    x = 26.28

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.