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Finding the Third Proportional to 3,672.56 and 7,918.88

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Solution

The third proportional to 3,672.56 and 7,918.88 is: 17,074.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,672.56 : 7,918.88 = 7,918.88 : x
  2. Step 2: Convert to fraction form
    3,672.56/7,918.88 = 7,918.88/x
  3. Step 3: Cross multiply
    3,672.56x = 7,918.88 × 7,918.88
  4. Step 4: Simplify right side
    3,672.56x = 62,708,581.27
  5. Step 5: Solve for x
    x = 62,708,581.27/3,672.56
  6. Step 6: Final answer
    x = 17,074.88

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.