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Finding the Third Proportional to 3,186.84 and 4,475.57

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Solution

The third proportional to 3,186.84 and 4,475.57 is: 6,285.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.84 : 4,475.57 = 4,475.57 : x
  2. Step 2: Convert to fraction form
    3,186.84/4,475.57 = 4,475.57/x
  3. Step 3: Cross multiply
    3,186.84x = 4,475.57 × 4,475.57
  4. Step 4: Simplify right side
    3,186.84x = 20,030,694.66
  5. Step 5: Solve for x
    x = 20,030,694.66/3,186.84
  6. Step 6: Final answer
    x = 6,285.43

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.