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Finding the Third Proportional to 3,681.72 and 7,947.22

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Solution

The third proportional to 3,681.72 and 7,947.22 is: 17,154.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,681.72 : 7,947.22 = 7,947.22 : x
  2. Step 2: Convert to fraction form
    3,681.72/7,947.22 = 7,947.22/x
  3. Step 3: Cross multiply
    3,681.72x = 7,947.22 × 7,947.22
  4. Step 4: Simplify right side
    3,681.72x = 63,158,231.53
  5. Step 5: Solve for x
    x = 63,158,231.53/3,681.72
  6. Step 6: Final answer
    x = 17,154.53

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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.