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Finding the Third Proportional to 24,374 and 37,641

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Solution

The third proportional to 24,374 and 37,641 is: 58,129.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,374 : 37,641 = 37,641 : x
  2. Step 2: Convert to fraction form
    24,374/37,641 = 37,641/x
  3. Step 3: Cross multiply
    24,374x = 37,641 × 37,641
  4. Step 4: Simplify right side
    24,374x = 1,416,844,881
  5. Step 5: Solve for x
    x = 1,416,844,881/24,374
  6. Step 6: Final answer
    x = 58,129.35

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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.