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Finding the Third Proportional to 2,655 and 6,198.75

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Solution

The third proportional to 2,655 and 6,198.75 is: 14,472.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,655 : 6,198.75 = 6,198.75 : x
  2. Step 2: Convert to fraction form
    2,655/6,198.75 = 6,198.75/x
  3. Step 3: Cross multiply
    2,655x = 6,198.75 × 6,198.75
  4. Step 4: Simplify right side
    2,655x = 38,424,501.56
  5. Step 5: Solve for x
    x = 38,424,501.56/2,655
  6. Step 6: Final answer
    x = 14,472.51

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.