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Finding the Third Proportional to 41,086 and 58,202

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Solution

The third proportional to 41,086 and 58,202 is: 82,448.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,086 : 58,202 = 58,202 : x
  2. Step 2: Convert to fraction form
    41,086/58,202 = 58,202/x
  3. Step 3: Cross multiply
    41,086x = 58,202 × 58,202
  4. Step 4: Simplify right side
    41,086x = 3,387,472,804
  5. Step 5: Solve for x
    x = 3,387,472,804/41,086
  6. Step 6: Final answer
    x = 82,448.35

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.