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Finding the Third Proportional to 8,160.19 and 12,305.25

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Solution

The third proportional to 8,160.19 and 12,305.25 is: 18,555.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,160.19 : 12,305.25 = 12,305.25 : x
  2. Step 2: Convert to fraction form
    8,160.19/12,305.25 = 12,305.25/x
  3. Step 3: Cross multiply
    8,160.19x = 12,305.25 × 12,305.25
  4. Step 4: Simplify right side
    8,160.19x = 151,419,177.56
  5. Step 5: Solve for x
    x = 151,419,177.56/8,160.19
  6. Step 6: Final answer
    x = 18,555.85

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.