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Finding the Third Proportional to 3,247.50 and 7,013.91

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Solution

The third proportional to 3,247.50 and 7,013.91 is: 15,148.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,247.50 : 7,013.91 = 7,013.91 : x
  2. Step 2: Convert to fraction form
    3,247.50/7,013.91 = 7,013.91/x
  3. Step 3: Cross multiply
    3,247.50x = 7,013.91 × 7,013.91
  4. Step 4: Simplify right side
    3,247.50x = 49,194,880.88
  5. Step 5: Solve for x
    x = 49,194,880.88/3,247.50
  6. Step 6: Final answer
    x = 15,148.54

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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.