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Finding the Third Proportional to 2,697.75 and 6,612.75

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Solution

The third proportional to 2,697.75 and 6,612.75 is: 16,209.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.75 : 6,612.75 = 6,612.75 : x
  2. Step 2: Convert to fraction form
    2,697.75/6,612.75 = 6,612.75/x
  3. Step 3: Cross multiply
    2,697.75x = 6,612.75 × 6,612.75
  4. Step 4: Simplify right side
    2,697.75x = 43,728,462.56
  5. Step 5: Solve for x
    x = 43,728,462.56/2,697.75
  6. Step 6: Final answer
    x = 16,209.23

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Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.