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Finding the Third Proportional to 24,374 and 52,924

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Solution

The third proportional to 24,374 and 52,924 is: 114,915.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,374 : 52,924 = 52,924 : x
  2. Step 2: Convert to fraction form
    24,374/52,924 = 52,924/x
  3. Step 3: Cross multiply
    24,374x = 52,924 × 52,924
  4. Step 4: Simplify right side
    24,374x = 2,800,949,776
  5. Step 5: Solve for x
    x = 2,800,949,776/24,374
  6. Step 6: Final answer
    x = 114,915.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.