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Finding the Third Proportional to 6,387 and 8,524.50

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Solution

The third proportional to 6,387 and 8,524.50 is: 11,377.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,387 : 8,524.50 = 8,524.50 : x
  2. Step 2: Convert to fraction form
    6,387/8,524.50 = 8,524.50/x
  3. Step 3: Cross multiply
    6,387x = 8,524.50 × 8,524.50
  4. Step 4: Simplify right side
    6,387x = 72,667,100.25
  5. Step 5: Solve for x
    x = 72,667,100.25/6,387
  6. Step 6: Final answer
    x = 11,377.34

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.