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Finding the Third Proportional to 41,194 and 62,581

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Solution

The third proportional to 41,194 and 62,581 is: 95,071.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,194 : 62,581 = 62,581 : x
  2. Step 2: Convert to fraction form
    41,194/62,581 = 62,581/x
  3. Step 3: Cross multiply
    41,194x = 62,581 × 62,581
  4. Step 4: Simplify right side
    41,194x = 3,916,381,561
  5. Step 5: Solve for x
    x = 3,916,381,561/41,194
  6. Step 6: Final answer
    x = 95,071.65

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.