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Finding the Third Proportional to 2,491.17 and 3,233.67

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Solution

The third proportional to 2,491.17 and 3,233.67 is: 4,197.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,491.17 : 3,233.67 = 3,233.67 : x
  2. Step 2: Convert to fraction form
    2,491.17/3,233.67 = 3,233.67/x
  3. Step 3: Cross multiply
    2,491.17x = 3,233.67 × 3,233.67
  4. Step 4: Simplify right side
    2,491.17x = 10,456,633.80
  5. Step 5: Solve for x
    x = 10,456,633.80/2,491.17
  6. Step 6: Final answer
    x = 4,197.48

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.