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Finding the Third Proportional to 8,257.50 and 12,552.75

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Solution

The third proportional to 8,257.50 and 12,552.75 is: 19,082.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,257.50 : 12,552.75 = 12,552.75 : x
  2. Step 2: Convert to fraction form
    8,257.50/12,552.75 = 12,552.75/x
  3. Step 3: Cross multiply
    8,257.50x = 12,552.75 × 12,552.75
  4. Step 4: Simplify right side
    8,257.50x = 157,571,532.56
  5. Step 5: Solve for x
    x = 157,571,532.56/8,257.50
  6. Step 6: Final answer
    x = 19,082.23

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.