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Finding the Third Proportional to 3,177.98 and 4,960.62

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Solution

The third proportional to 3,177.98 and 4,960.62 is: 7,743.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,177.98 : 4,960.62 = 4,960.62 : x
  2. Step 2: Convert to fraction form
    3,177.98/4,960.62 = 4,960.62/x
  3. Step 3: Cross multiply
    3,177.98x = 4,960.62 × 4,960.62
  4. Step 4: Simplify right side
    3,177.98x = 24,607,722.88
  5. Step 5: Solve for x
    x = 24,607,722.88/3,177.98
  6. Step 6: Final answer
    x = 7,743.19

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.