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Finding the Third Proportional to 6,864.75 and 16,539.19

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Solution

The third proportional to 6,864.75 and 16,539.19 is: 39,847.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,864.75 : 16,539.19 = 16,539.19 : x
  2. Step 2: Convert to fraction form
    6,864.75/16,539.19 = 16,539.19/x
  3. Step 3: Cross multiply
    6,864.75x = 16,539.19 × 16,539.19
  4. Step 4: Simplify right side
    6,864.75x = 273,544,723.16
  5. Step 5: Solve for x
    x = 273,544,723.16/6,864.75
  6. Step 6: Final answer
    x = 39,847.73

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.