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Finding the Third Proportional to 24,391 and 37,599

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Solution

The third proportional to 24,391 and 37,599 is: 57,959.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,391 : 37,599 = 37,599 : x
  2. Step 2: Convert to fraction form
    24,391/37,599 = 37,599/x
  3. Step 3: Cross multiply
    24,391x = 37,599 × 37,599
  4. Step 4: Simplify right side
    24,391x = 1,413,684,801
  5. Step 5: Solve for x
    x = 1,413,684,801/24,391
  6. Step 6: Final answer
    x = 57,959.28

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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.