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Finding the Third Proportional to 6,174.38 and 13,519.88

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Solution

The third proportional to 6,174.38 and 13,519.88 is: 29,604.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,174.38 : 13,519.88 = 13,519.88 : x
  2. Step 2: Convert to fraction form
    6,174.38/13,519.88 = 13,519.88/x
  3. Step 3: Cross multiply
    6,174.38x = 13,519.88 × 13,519.88
  4. Step 4: Simplify right side
    6,174.38x = 182,787,020.02
  5. Step 5: Solve for x
    x = 182,787,020.02/6,174.38
  6. Step 6: Final answer
    x = 29,604.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.