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Finding the Third Proportional to 7,211.75 and 15,500.75

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Solution

The third proportional to 7,211.75 and 15,500.75 is: 33,316.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,211.75 : 15,500.75 = 15,500.75 : x
  2. Step 2: Convert to fraction form
    7,211.75/15,500.75 = 15,500.75/x
  3. Step 3: Cross multiply
    7,211.75x = 15,500.75 × 15,500.75
  4. Step 4: Simplify right side
    7,211.75x = 240,273,250.56
  5. Step 5: Solve for x
    x = 240,273,250.56/7,211.75
  6. Step 6: Final answer
    x = 33,316.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.