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Finding the Third Proportional to 41,562 and 62,174

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Solution

The third proportional to 41,562 and 62,174 is: 93,008.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,562 : 62,174 = 62,174 : x
  2. Step 2: Convert to fraction form
    41,562/62,174 = 62,174/x
  3. Step 3: Cross multiply
    41,562x = 62,174 × 62,174
  4. Step 4: Simplify right side
    41,562x = 3,865,606,276
  5. Step 5: Solve for x
    x = 3,865,606,276/41,562
  6. Step 6: Final answer
    x = 93,008.19

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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.