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Finding the Third Proportional to 8,209.25 and 12,698.75

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Solution

The third proportional to 8,209.25 and 12,698.75 is: 19,643.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,209.25 : 12,698.75 = 12,698.75 : x
  2. Step 2: Convert to fraction form
    8,209.25/12,698.75 = 12,698.75/x
  3. Step 3: Cross multiply
    8,209.25x = 12,698.75 × 12,698.75
  4. Step 4: Simplify right side
    8,209.25x = 161,258,251.56
  5. Step 5: Solve for x
    x = 161,258,251.56/8,209.25
  6. Step 6: Final answer
    x = 19,643.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.