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Finding the Third Proportional to 8,665.50 and 13,443.75

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Solution

The third proportional to 8,665.50 and 13,443.75 is: 20,856.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,665.50 : 13,443.75 = 13,443.75 : x
  2. Step 2: Convert to fraction form
    8,665.50/13,443.75 = 13,443.75/x
  3. Step 3: Cross multiply
    8,665.50x = 13,443.75 × 13,443.75
  4. Step 4: Simplify right side
    8,665.50x = 180,734,414.06
  5. Step 5: Solve for x
    x = 180,734,414.06/8,665.50
  6. Step 6: Final answer
    x = 20,856.78

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.