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Finding the Third Proportional to 10.14 and 15.85

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Solution

The third proportional to 10.14 and 15.85 is: 24.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.14 : 15.85 = 15.85 : x
  2. Step 2: Convert to fraction form
    10.14/15.85 = 15.85/x
  3. Step 3: Cross multiply
    10.14x = 15.85 × 15.85
  4. Step 4: Simplify right side
    10.14x = 251.27
  5. Step 5: Solve for x
    x = 251.27/10.14
  6. Step 6: Final answer
    x = 24.77

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.