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Finding the Third Proportional to 6,519.75 and 12,713.25

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Solution

The third proportional to 6,519.75 and 12,713.25 is: 24,790.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,519.75 : 12,713.25 = 12,713.25 : x
  2. Step 2: Convert to fraction form
    6,519.75/12,713.25 = 12,713.25/x
  3. Step 3: Cross multiply
    6,519.75x = 12,713.25 × 12,713.25
  4. Step 4: Simplify right side
    6,519.75x = 161,626,725.56
  5. Step 5: Solve for x
    x = 161,626,725.56/6,519.75
  6. Step 6: Final answer
    x = 24,790.33

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.