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Finding the Third Proportional to 41,013 and 60,699

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Solution

The third proportional to 41,013 and 60,699 is: 89,834.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,013 : 60,699 = 60,699 : x
  2. Step 2: Convert to fraction form
    41,013/60,699 = 60,699/x
  3. Step 3: Cross multiply
    41,013x = 60,699 × 60,699
  4. Step 4: Simplify right side
    41,013x = 3,684,368,601
  5. Step 5: Solve for x
    x = 3,684,368,601/41,013
  6. Step 6: Final answer
    x = 89,834.16

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.