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Finding the Third Proportional to 3,743.72 and 8,902.41

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Solution

The third proportional to 3,743.72 and 8,902.41 is: 21,169.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,743.72 : 8,902.41 = 8,902.41 : x
  2. Step 2: Convert to fraction form
    3,743.72/8,902.41 = 8,902.41/x
  3. Step 3: Cross multiply
    3,743.72x = 8,902.41 × 8,902.41
  4. Step 4: Simplify right side
    3,743.72x = 79,252,837.04
  5. Step 5: Solve for x
    x = 79,252,837.04/3,743.72
  6. Step 6: Final answer
    x = 21,169.55

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These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.