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Finding the Third Proportional to 41,754 and 62,619

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Solution

The third proportional to 41,754 and 62,619 is: 93,910.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,754 : 62,619 = 62,619 : x
  2. Step 2: Convert to fraction form
    41,754/62,619 = 62,619/x
  3. Step 3: Cross multiply
    41,754x = 62,619 × 62,619
  4. Step 4: Simplify right side
    41,754x = 3,921,139,161
  5. Step 5: Solve for x
    x = 3,921,139,161/41,754
  6. Step 6: Final answer
    x = 93,910.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.