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Finding the Third Proportional to 13,305 and 22,174.13

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Solution

The third proportional to 13,305 and 22,174.13 is: 36,955.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,305 : 22,174.13 = 22,174.13 : x
  2. Step 2: Convert to fraction form
    13,305/22,174.13 = 22,174.13/x
  3. Step 3: Cross multiply
    13,305x = 22,174.13 × 22,174.13
  4. Step 4: Simplify right side
    13,305x = 491,691,819.52
  5. Step 5: Solve for x
    x = 491,691,819.52/13,305
  6. Step 6: Final answer
    x = 36,955.42

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.