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Finding the Third Proportional to 2,743.13 and 6,000.38

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Solution

The third proportional to 2,743.13 and 6,000.38 is: 13,125.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,743.13 : 6,000.38 = 6,000.38 : x
  2. Step 2: Convert to fraction form
    2,743.13/6,000.38 = 6,000.38/x
  3. Step 3: Cross multiply
    2,743.13x = 6,000.38 × 6,000.38
  4. Step 4: Simplify right side
    2,743.13x = 36,004,500.14
  5. Step 5: Solve for x
    x = 36,004,500.14/2,743.13
  6. Step 6: Final answer
    x = 13,125.36

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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.