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Finding the Third Proportional to 8,517.66 and 13,074.54

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Solution

The third proportional to 8,517.66 and 13,074.54 is: 20,069.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,517.66 : 13,074.54 = 13,074.54 : x
  2. Step 2: Convert to fraction form
    8,517.66/13,074.54 = 13,074.54/x
  3. Step 3: Cross multiply
    8,517.66x = 13,074.54 × 13,074.54
  4. Step 4: Simplify right side
    8,517.66x = 170,943,571.70
  5. Step 5: Solve for x
    x = 170,943,571.70/8,517.66
  6. Step 6: Final answer
    x = 20,069.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.