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Finding the Third Proportional to 40,782 and 94,599

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Solution

The third proportional to 40,782 and 94,599 is: 219,434.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,782 : 94,599 = 94,599 : x
  2. Step 2: Convert to fraction form
    40,782/94,599 = 94,599/x
  3. Step 3: Cross multiply
    40,782x = 94,599 × 94,599
  4. Step 4: Simplify right side
    40,782x = 8,948,970,801
  5. Step 5: Solve for x
    x = 8,948,970,801/40,782
  6. Step 6: Final answer
    x = 219,434.33

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.