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Finding the Third Proportional to 3,793.25 and 8,278.25

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Solution

The third proportional to 3,793.25 and 8,278.25 is: 18,066.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,793.25 : 8,278.25 = 8,278.25 : x
  2. Step 2: Convert to fraction form
    3,793.25/8,278.25 = 8,278.25/x
  3. Step 3: Cross multiply
    3,793.25x = 8,278.25 × 8,278.25
  4. Step 4: Simplify right side
    3,793.25x = 68,529,423.06
  5. Step 5: Solve for x
    x = 68,529,423.06/3,793.25
  6. Step 6: Final answer
    x = 18,066.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.