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Finding the Third Proportional to 1,240.13 and 2,601.38

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Solution

The third proportional to 1,240.13 and 2,601.38 is: 5,456.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,240.13 : 2,601.38 = 2,601.38 : x
  2. Step 2: Convert to fraction form
    1,240.13/2,601.38 = 2,601.38/x
  3. Step 3: Cross multiply
    1,240.13x = 2,601.38 × 2,601.38
  4. Step 4: Simplify right side
    1,240.13x = 6,767,151.89
  5. Step 5: Solve for x
    x = 6,767,151.89/1,240.13
  6. Step 6: Final answer
    x = 5,456.83

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.