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Finding the Third Proportional to 8,649 and 11,617.50

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Solution

The third proportional to 8,649 and 11,617.50 is: 15,604.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,649 : 11,617.50 = 11,617.50 : x
  2. Step 2: Convert to fraction form
    8,649/11,617.50 = 11,617.50/x
  3. Step 3: Cross multiply
    8,649x = 11,617.50 × 11,617.50
  4. Step 4: Simplify right side
    8,649x = 134,966,306.25
  5. Step 5: Solve for x
    x = 134,966,306.25/8,649
  6. Step 6: Final answer
    x = 15,604.85

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.