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Finding the Third Proportional to 41,935 and 62,736

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Solution

The third proportional to 41,935 and 62,736 is: 93,854.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,935 : 62,736 = 62,736 : x
  2. Step 2: Convert to fraction form
    41,935/62,736 = 62,736/x
  3. Step 3: Cross multiply
    41,935x = 62,736 × 62,736
  4. Step 4: Simplify right side
    41,935x = 3,935,805,696
  5. Step 5: Solve for x
    x = 3,935,805,696/41,935
  6. Step 6: Final answer
    x = 93,854.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.