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Finding the Third Proportional to 3,654.94 and 5,572.78

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Solution

The third proportional to 3,654.94 and 5,572.78 is: 8,496.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,654.94 : 5,572.78 = 5,572.78 : x
  2. Step 2: Convert to fraction form
    3,654.94/5,572.78 = 5,572.78/x
  3. Step 3: Cross multiply
    3,654.94x = 5,572.78 × 5,572.78
  4. Step 4: Simplify right side
    3,654.94x = 31,055,890.86
  5. Step 5: Solve for x
    x = 31,055,890.86/3,654.94
  6. Step 6: Final answer
    x = 8,496.97

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.