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Finding the Third Proportional to 8,055 and 12,449.25

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Solution

The third proportional to 8,055 and 12,449.25 is: 19,240.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,055 : 12,449.25 = 12,449.25 : x
  2. Step 2: Convert to fraction form
    8,055/12,449.25 = 12,449.25/x
  3. Step 3: Cross multiply
    8,055x = 12,449.25 × 12,449.25
  4. Step 4: Simplify right side
    8,055x = 154,983,825.56
  5. Step 5: Solve for x
    x = 154,983,825.56/8,055
  6. Step 6: Final answer
    x = 19,240.70

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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.