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Finding the Third Proportional to 24.47 and 37.31

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Solution

The third proportional to 24.47 and 37.31 is: 56.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.47 : 37.31 = 37.31 : x
  2. Step 2: Convert to fraction form
    24.47/37.31 = 37.31/x
  3. Step 3: Cross multiply
    24.47x = 37.31 × 37.31
  4. Step 4: Simplify right side
    24.47x = 1,392.22
  5. Step 5: Solve for x
    x = 1,392.22/24.47
  6. Step 6: Final answer
    x = 56.90

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.