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Finding the Third Proportional to 24,691 and 37,252

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Solution

The third proportional to 24,691 and 37,252 is: 56,203.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,691 : 37,252 = 37,252 : x
  2. Step 2: Convert to fraction form
    24,691/37,252 = 37,252/x
  3. Step 3: Cross multiply
    24,691x = 37,252 × 37,252
  4. Step 4: Simplify right side
    24,691x = 1,387,711,504
  5. Step 5: Solve for x
    x = 1,387,711,504/24,691
  6. Step 6: Final answer
    x = 56,203.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.