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Finding the Third Proportional to 10,469 and 22,765

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Solution

The third proportional to 10,469 and 22,765 is: 49,502.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,469 : 22,765 = 22,765 : x
  2. Step 2: Convert to fraction form
    10,469/22,765 = 22,765/x
  3. Step 3: Cross multiply
    10,469x = 22,765 × 22,765
  4. Step 4: Simplify right side
    10,469x = 518,245,225
  5. Step 5: Solve for x
    x = 518,245,225/10,469
  6. Step 6: Final answer
    x = 49,502.84

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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.