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Finding the Third Proportional to 13,579.13 and 20,169.38

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Solution

The third proportional to 13,579.13 and 20,169.38 is: 29,958.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,579.13 : 20,169.38 = 20,169.38 : x
  2. Step 2: Convert to fraction form
    13,579.13/20,169.38 = 20,169.38/x
  3. Step 3: Cross multiply
    13,579.13x = 20,169.38 × 20,169.38
  4. Step 4: Simplify right side
    13,579.13x = 406,803,687.89
  5. Step 5: Solve for x
    x = 406,803,687.89/13,579.13
  6. Step 6: Final answer
    x = 29,958.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.