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Finding the Third Proportional to 8,769.94 and 16,731.56

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Solution

The third proportional to 8,769.94 and 16,731.56 is: 31,921.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,769.94 : 16,731.56 = 16,731.56 : x
  2. Step 2: Convert to fraction form
    8,769.94/16,731.56 = 16,731.56/x
  3. Step 3: Cross multiply
    8,769.94x = 16,731.56 × 16,731.56
  4. Step 4: Simplify right side
    8,769.94x = 279,945,183.69
  5. Step 5: Solve for x
    x = 279,945,183.69/8,769.94
  6. Step 6: Final answer
    x = 31,921.00

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.