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Finding the Third Proportional to 41,041.50 and 87,699

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Solution

The third proportional to 41,041.50 and 87,699 is: 187,398.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,041.50 : 87,699 = 87,699 : x
  2. Step 2: Convert to fraction form
    41,041.50/87,699 = 87,699/x
  3. Step 3: Cross multiply
    41,041.50x = 87,699 × 87,699
  4. Step 4: Simplify right side
    41,041.50x = 7,691,114,601
  5. Step 5: Solve for x
    x = 7,691,114,601/41,041.50
  6. Step 6: Final answer
    x = 187,398.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.