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Finding the Third Proportional to 3,524 and 7,517.25

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Solution

The third proportional to 3,524 and 7,517.25 is: 16,035.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,524 : 7,517.25 = 7,517.25 : x
  2. Step 2: Convert to fraction form
    3,524/7,517.25 = 7,517.25/x
  3. Step 3: Cross multiply
    3,524x = 7,517.25 × 7,517.25
  4. Step 4: Simplify right side
    3,524x = 56,509,047.56
  5. Step 5: Solve for x
    x = 56,509,047.56/3,524
  6. Step 6: Final answer
    x = 16,035.48

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.