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Finding the Third Proportional to 41,396 and 62,214

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Solution

The third proportional to 41,396 and 62,214 is: 93,501.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,396 : 62,214 = 62,214 : x
  2. Step 2: Convert to fraction form
    41,396/62,214 = 62,214/x
  3. Step 3: Cross multiply
    41,396x = 62,214 × 62,214
  4. Step 4: Simplify right side
    41,396x = 3,870,581,796
  5. Step 5: Solve for x
    x = 3,870,581,796/41,396
  6. Step 6: Final answer
    x = 93,501.35

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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.