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Finding the Third Proportional to 3,186.84 and 5,294.11

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Solution

The third proportional to 3,186.84 and 5,294.11 is: 8,794.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.84 : 5,294.11 = 5,294.11 : x
  2. Step 2: Convert to fraction form
    3,186.84/5,294.11 = 5,294.11/x
  3. Step 3: Cross multiply
    3,186.84x = 5,294.11 × 5,294.11
  4. Step 4: Simplify right side
    3,186.84x = 28,027,594.07
  5. Step 5: Solve for x
    x = 28,027,594.07/3,186.84
  6. Step 6: Final answer
    x = 8,794.78

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.