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Finding the Third Proportional to 16.31 and 24.47

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Solution

The third proportional to 16.31 and 24.47 is: 36.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.31 : 24.47 = 24.47 : x
  2. Step 2: Convert to fraction form
    16.31/24.47 = 24.47/x
  3. Step 3: Cross multiply
    16.31x = 24.47 × 24.47
  4. Step 4: Simplify right side
    16.31x = 598.72
  5. Step 5: Solve for x
    x = 598.72/16.31
  6. Step 6: Final answer
    x = 36.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.