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Finding the Third Proportional to 31.17 and 39.27

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Solution

The third proportional to 31.17 and 39.27 is: 49.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.17 : 39.27 = 39.27 : x
  2. Step 2: Convert to fraction form
    31.17/39.27 = 39.27/x
  3. Step 3: Cross multiply
    31.17x = 39.27 × 39.27
  4. Step 4: Simplify right side
    31.17x = 1,542.10
  5. Step 5: Solve for x
    x = 1,542.10/31.17
  6. Step 6: Final answer
    x = 49.47

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.