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Finding the Third Proportional to 3,167.07 and 7,340.78

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Solution

The third proportional to 3,167.07 and 7,340.78 is: 17,014.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,167.07 : 7,340.78 = 7,340.78 : x
  2. Step 2: Convert to fraction form
    3,167.07/7,340.78 = 7,340.78/x
  3. Step 3: Cross multiply
    3,167.07x = 7,340.78 × 7,340.78
  4. Step 4: Simplify right side
    3,167.07x = 53,887,098.04
  5. Step 5: Solve for x
    x = 53,887,098.04/3,167.07
  6. Step 6: Final answer
    x = 17,014.82

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.