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Finding the Third Proportional to 10,469 and 22,745

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Solution

The third proportional to 10,469 and 22,745 is: 49,415.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,469 : 22,745 = 22,745 : x
  2. Step 2: Convert to fraction form
    10,469/22,745 = 22,745/x
  3. Step 3: Cross multiply
    10,469x = 22,745 × 22,745
  4. Step 4: Simplify right side
    10,469x = 517,335,025
  5. Step 5: Solve for x
    x = 517,335,025/10,469
  6. Step 6: Final answer
    x = 49,415.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.