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Finding the Third Proportional to 8,141.06 and 12,687.19

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Solution

The third proportional to 8,141.06 and 12,687.19 is: 19,771.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,141.06 : 12,687.19 = 12,687.19 : x
  2. Step 2: Convert to fraction form
    8,141.06/12,687.19 = 12,687.19/x
  3. Step 3: Cross multiply
    8,141.06x = 12,687.19 × 12,687.19
  4. Step 4: Simplify right side
    8,141.06x = 160,964,726.66
  5. Step 5: Solve for x
    x = 160,964,726.66/8,141.06
  6. Step 6: Final answer
    x = 19,771.96

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.