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Finding the Third Proportional to 24.45 and 38.71

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Solution

The third proportional to 24.45 and 38.71 is: 61.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.45 : 38.71 = 38.71 : x
  2. Step 2: Convert to fraction form
    24.45/38.71 = 38.71/x
  3. Step 3: Cross multiply
    24.45x = 38.71 × 38.71
  4. Step 4: Simplify right side
    24.45x = 1,498.23
  5. Step 5: Solve for x
    x = 1,498.23/24.45
  6. Step 6: Final answer
    x = 61.29

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.