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Finding the Third Proportional to 41,459 and 62,535

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Solution

The third proportional to 41,459 and 62,535 is: 94,325.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,459 : 62,535 = 62,535 : x
  2. Step 2: Convert to fraction form
    41,459/62,535 = 62,535/x
  3. Step 3: Cross multiply
    41,459x = 62,535 × 62,535
  4. Step 4: Simplify right side
    41,459x = 3,910,626,225
  5. Step 5: Solve for x
    x = 3,910,626,225/41,459
  6. Step 6: Final answer
    x = 94,325.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.