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Finding the Third Proportional to 12,724.59 and 16,731.56

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Solution

The third proportional to 12,724.59 and 16,731.56 is: 22,000.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,724.59 : 16,731.56 = 16,731.56 : x
  2. Step 2: Convert to fraction form
    12,724.59/16,731.56 = 16,731.56/x
  3. Step 3: Cross multiply
    12,724.59x = 16,731.56 × 16,731.56
  4. Step 4: Simplify right side
    12,724.59x = 279,945,183.69
  5. Step 5: Solve for x
    x = 279,945,183.69/12,724.59
  6. Step 6: Final answer
    x = 22,000.32

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.