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Finding the Third Proportional to 2,934.56 and 6,177.09

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Solution

The third proportional to 2,934.56 and 6,177.09 is: 13,002.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,934.56 : 6,177.09 = 6,177.09 : x
  2. Step 2: Convert to fraction form
    2,934.56/6,177.09 = 6,177.09/x
  3. Step 3: Cross multiply
    2,934.56x = 6,177.09 × 6,177.09
  4. Step 4: Simplify right side
    2,934.56x = 38,156,487.20
  5. Step 5: Solve for x
    x = 38,156,487.20/2,934.56
  6. Step 6: Final answer
    x = 13,002.44

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.