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Finding the Third Proportional to 24,654 and 37,934

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Solution

The third proportional to 24,654 and 37,934 is: 58,367.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,654 : 37,934 = 37,934 : x
  2. Step 2: Convert to fraction form
    24,654/37,934 = 37,934/x
  3. Step 3: Cross multiply
    24,654x = 37,934 × 37,934
  4. Step 4: Simplify right side
    24,654x = 1,438,988,356
  5. Step 5: Solve for x
    x = 1,438,988,356/24,654
  6. Step 6: Final answer
    x = 58,367.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.