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Finding the Third Proportional to 41,078 and 58,699

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Solution

The third proportional to 41,078 and 58,699 is: 83,878.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,078 : 58,699 = 58,699 : x
  2. Step 2: Convert to fraction form
    41,078/58,699 = 58,699/x
  3. Step 3: Cross multiply
    41,078x = 58,699 × 58,699
  4. Step 4: Simplify right side
    41,078x = 3,445,572,601
  5. Step 5: Solve for x
    x = 3,445,572,601/41,078
  6. Step 6: Final answer
    x = 83,878.78

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.