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Finding the Third Proportional to 8,491.50 and 12,727.55

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Solution

The third proportional to 8,491.50 and 12,727.55 is: 19,076.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,491.50 : 12,727.55 = 12,727.55 : x
  2. Step 2: Convert to fraction form
    8,491.50/12,727.55 = 12,727.55/x
  3. Step 3: Cross multiply
    8,491.50x = 12,727.55 × 12,727.55
  4. Step 4: Simplify right side
    8,491.50x = 161,990,449.46
  5. Step 5: Solve for x
    x = 161,990,449.46/8,491.50
  6. Step 6: Final answer
    x = 19,076.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.