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Finding the Third Proportional to 2,730.66 and 5,818.78

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Solution

The third proportional to 2,730.66 and 5,818.78 is: 12,399.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,730.66 : 5,818.78 = 5,818.78 : x
  2. Step 2: Convert to fraction form
    2,730.66/5,818.78 = 5,818.78/x
  3. Step 3: Cross multiply
    2,730.66x = 5,818.78 × 5,818.78
  4. Step 4: Simplify right side
    2,730.66x = 33,858,215.24
  5. Step 5: Solve for x
    x = 33,858,215.24/2,730.66
  6. Step 6: Final answer
    x = 12,399.30

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.