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Finding the Third Proportional to 6,124.68 and 13,251.73

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Solution

The third proportional to 6,124.68 and 13,251.73 is: 28,672.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,124.68 : 13,251.73 = 13,251.73 : x
  2. Step 2: Convert to fraction form
    6,124.68/13,251.73 = 13,251.73/x
  3. Step 3: Cross multiply
    6,124.68x = 13,251.73 × 13,251.73
  4. Step 4: Simplify right side
    6,124.68x = 175,608,256.89
  5. Step 5: Solve for x
    x = 175,608,256.89/6,124.68
  6. Step 6: Final answer
    x = 28,672.25

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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.