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Finding the Third Proportional to 8,662.57 and 13,025.18

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Solution

The third proportional to 8,662.57 and 13,025.18 is: 19,584.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,662.57 : 13,025.18 = 13,025.18 : x
  2. Step 2: Convert to fraction form
    8,662.57/13,025.18 = 13,025.18/x
  3. Step 3: Cross multiply
    8,662.57x = 13,025.18 × 13,025.18
  4. Step 4: Simplify right side
    8,662.57x = 169,655,305.89
  5. Step 5: Solve for x
    x = 169,655,305.89/8,662.57
  6. Step 6: Final answer
    x = 19,584.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.