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Finding the Third Proportional to 24,469 and 41,207

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Solution

The third proportional to 24,469 and 41,207 is: 69,394.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,469 : 41,207 = 41,207 : x
  2. Step 2: Convert to fraction form
    24,469/41,207 = 41,207/x
  3. Step 3: Cross multiply
    24,469x = 41,207 × 41,207
  4. Step 4: Simplify right side
    24,469x = 1,698,016,849
  5. Step 5: Solve for x
    x = 1,698,016,849/24,469
  6. Step 6: Final answer
    x = 69,394.62

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Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.