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Finding the Third Proportional to 2,660 and 5,714.88

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Solution

The third proportional to 2,660 and 5,714.88 is: 12,278.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,660 : 5,714.88 = 5,714.88 : x
  2. Step 2: Convert to fraction form
    2,660/5,714.88 = 5,714.88/x
  3. Step 3: Cross multiply
    2,660x = 5,714.88 × 5,714.88
  4. Step 4: Simplify right side
    2,660x = 32,659,796.27
  5. Step 5: Solve for x
    x = 32,659,796.27/2,660
  6. Step 6: Final answer
    x = 12,278.12

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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.