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Finding the Third Proportional to 2,691.04 and 5,777.89

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Solution

The third proportional to 2,691.04 and 5,777.89 is: 12,405.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,691.04 : 5,777.89 = 5,777.89 : x
  2. Step 2: Convert to fraction form
    2,691.04/5,777.89 = 5,777.89/x
  3. Step 3: Cross multiply
    2,691.04x = 5,777.89 × 5,777.89
  4. Step 4: Simplify right side
    2,691.04x = 33,384,065.21
  5. Step 5: Solve for x
    x = 33,384,065.21/2,691.04
  6. Step 6: Final answer
    x = 12,405.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.