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Finding the Third Proportional to 5,229.36 and 7,966.67

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Solution

The third proportional to 5,229.36 and 7,966.67 is: 12,136.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,229.36 : 7,966.67 = 7,966.67 : x
  2. Step 2: Convert to fraction form
    5,229.36/7,966.67 = 7,966.67/x
  3. Step 3: Cross multiply
    5,229.36x = 7,966.67 × 7,966.67
  4. Step 4: Simplify right side
    5,229.36x = 63,467,899.66
  5. Step 5: Solve for x
    x = 63,467,899.66/5,229.36
  6. Step 6: Final answer
    x = 12,136.83

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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.