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Finding the Third Proportional to 5,747.52 and 8,902.72

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Solution

The third proportional to 5,747.52 and 8,902.72 is: 13,790.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,747.52 : 8,902.72 = 8,902.72 : x
  2. Step 2: Convert to fraction form
    5,747.52/8,902.72 = 8,902.72/x
  3. Step 3: Cross multiply
    5,747.52x = 8,902.72 × 8,902.72
  4. Step 4: Simplify right side
    5,747.52x = 79,258,470.69
  5. Step 5: Solve for x
    x = 79,258,470.69/5,747.52
  6. Step 6: Final answer
    x = 13,790.03

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.