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Finding the Third Proportional to 10,061.50 and 21,422

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Solution

The third proportional to 10,061.50 and 21,422 is: 45,609.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,061.50 : 21,422 = 21,422 : x
  2. Step 2: Convert to fraction form
    10,061.50/21,422 = 21,422/x
  3. Step 3: Cross multiply
    10,061.50x = 21,422 × 21,422
  4. Step 4: Simplify right side
    10,061.50x = 458,902,084
  5. Step 5: Solve for x
    x = 458,902,084/10,061.50
  6. Step 6: Final answer
    x = 45,609.71

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.