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Finding the Third Proportional to 3,272.06 and 7,167.38

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Solution

The third proportional to 3,272.06 and 7,167.38 is: 15,699.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,272.06 : 7,167.38 = 7,167.38 : x
  2. Step 2: Convert to fraction form
    3,272.06/7,167.38 = 7,167.38/x
  3. Step 3: Cross multiply
    3,272.06x = 7,167.38 × 7,167.38
  4. Step 4: Simplify right side
    3,272.06x = 51,371,264.39
  5. Step 5: Solve for x
    x = 51,371,264.39/3,272.06
  6. Step 6: Final answer
    x = 15,699.96

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.