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Finding the Third Proportional to 2,747.67 and 5,358.02

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Solution

The third proportional to 2,747.67 and 5,358.02 is: 10,448.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,747.67 : 5,358.02 = 5,358.02 : x
  2. Step 2: Convert to fraction form
    2,747.67/5,358.02 = 5,358.02/x
  3. Step 3: Cross multiply
    2,747.67x = 5,358.02 × 5,358.02
  4. Step 4: Simplify right side
    2,747.67x = 28,708,415.16
  5. Step 5: Solve for x
    x = 28,708,415.16/2,747.67
  6. Step 6: Final answer
    x = 10,448.27

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.