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Finding the Third Proportional to 8,057.81 and 16,728.19

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Solution

The third proportional to 8,057.81 and 16,728.19 is: 34,728.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,057.81 : 16,728.19 = 16,728.19 : x
  2. Step 2: Convert to fraction form
    8,057.81/16,728.19 = 16,728.19/x
  3. Step 3: Cross multiply
    8,057.81x = 16,728.19 × 16,728.19
  4. Step 4: Simplify right side
    8,057.81x = 279,832,257.04
  5. Step 5: Solve for x
    x = 279,832,257.04/8,057.81
  6. Step 6: Final answer
    x = 34,728.07

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.