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Finding the Third Proportional to 6,756.75 and 12,231

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Solution

The third proportional to 6,756.75 and 12,231 is: 22,140.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,756.75 : 12,231 = 12,231 : x
  2. Step 2: Convert to fraction form
    6,756.75/12,231 = 12,231/x
  3. Step 3: Cross multiply
    6,756.75x = 12,231 × 12,231
  4. Step 4: Simplify right side
    6,756.75x = 149,597,361
  5. Step 5: Solve for x
    x = 149,597,361/6,756.75
  6. Step 6: Final answer
    x = 22,140.43

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.