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Finding the Third Proportional to 8,659.41 and 13,766.20

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Solution

The third proportional to 8,659.41 and 13,766.20 is: 21,884.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,659.41 : 13,766.20 = 13,766.20 : x
  2. Step 2: Convert to fraction form
    8,659.41/13,766.20 = 13,766.20/x
  3. Step 3: Cross multiply
    8,659.41x = 13,766.20 × 13,766.20
  4. Step 4: Simplify right side
    8,659.41x = 189,508,348.48
  5. Step 5: Solve for x
    x = 189,508,348.48/8,659.41
  6. Step 6: Final answer
    x = 21,884.68

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.