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Finding the Third Proportional to 41,780 and 98,591

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Solution

The third proportional to 41,780 and 98,591 is: 232,651.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,780 : 98,591 = 98,591 : x
  2. Step 2: Convert to fraction form
    41,780/98,591 = 98,591/x
  3. Step 3: Cross multiply
    41,780x = 98,591 × 98,591
  4. Step 4: Simplify right side
    41,780x = 9,720,185,281
  5. Step 5: Solve for x
    x = 9,720,185,281/41,780
  6. Step 6: Final answer
    x = 232,651.63

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.