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Finding the Third Proportional to 41,858 and 58,680

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Solution

The third proportional to 41,858 and 58,680 is: 82,262.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,858 : 58,680 = 58,680 : x
  2. Step 2: Convert to fraction form
    41,858/58,680 = 58,680/x
  3. Step 3: Cross multiply
    41,858x = 58,680 × 58,680
  4. Step 4: Simplify right side
    41,858x = 3,443,342,400
  5. Step 5: Solve for x
    x = 3,443,342,400/41,858
  6. Step 6: Final answer
    x = 82,262.47

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.