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Finding the Third Proportional to 12,074.06 and 17,761.92

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Solution

The third proportional to 12,074.06 and 17,761.92 is: 26,129.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,074.06 : 17,761.92 = 17,761.92 : x
  2. Step 2: Convert to fraction form
    12,074.06/17,761.92 = 17,761.92/x
  3. Step 3: Cross multiply
    12,074.06x = 17,761.92 × 17,761.92
  4. Step 4: Simplify right side
    12,074.06x = 315,485,868.69
  5. Step 5: Solve for x
    x = 315,485,868.69/12,074.06
  6. Step 6: Final answer
    x = 26,129.22

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.