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Finding the Third Proportional to 2,685 and 6,228.75

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Solution

The third proportional to 2,685 and 6,228.75 is: 14,449.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,685 : 6,228.75 = 6,228.75 : x
  2. Step 2: Convert to fraction form
    2,685/6,228.75 = 6,228.75/x
  3. Step 3: Cross multiply
    2,685x = 6,228.75 × 6,228.75
  4. Step 4: Simplify right side
    2,685x = 38,797,326.56
  5. Step 5: Solve for x
    x = 38,797,326.56/2,685
  6. Step 6: Final answer
    x = 14,449.66

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.