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Finding the Third Proportional to 7,688.25 and 11,517.19

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Solution

The third proportional to 7,688.25 and 11,517.19 is: 17,253.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,688.25 : 11,517.19 = 11,517.19 : x
  2. Step 2: Convert to fraction form
    7,688.25/11,517.19 = 11,517.19/x
  3. Step 3: Cross multiply
    7,688.25x = 11,517.19 × 11,517.19
  4. Step 4: Simplify right side
    7,688.25x = 132,645,607.91
  5. Step 5: Solve for x
    x = 132,645,607.91/7,688.25
  6. Step 6: Final answer
    x = 17,253.03

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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.