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Finding the Third Proportional to 2,796.94 and 6,031.78

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Solution

The third proportional to 2,796.94 and 6,031.78 is: 13,007.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,796.94 : 6,031.78 = 6,031.78 : x
  2. Step 2: Convert to fraction form
    2,796.94/6,031.78 = 6,031.78/x
  3. Step 3: Cross multiply
    2,796.94x = 6,031.78 × 6,031.78
  4. Step 4: Simplify right side
    2,796.94x = 36,382,385.05
  5. Step 5: Solve for x
    x = 36,382,385.05/2,796.94
  6. Step 6: Final answer
    x = 13,007.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.