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Finding the Third Proportional to 2,247.47 and 3,369.66

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Solution

The third proportional to 2,247.47 and 3,369.66 is: 5,052.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,247.47 : 3,369.66 = 3,369.66 : x
  2. Step 2: Convert to fraction form
    2,247.47/3,369.66 = 3,369.66/x
  3. Step 3: Cross multiply
    2,247.47x = 3,369.66 × 3,369.66
  4. Step 4: Simplify right side
    2,247.47x = 11,354,583.24
  5. Step 5: Solve for x
    x = 11,354,583.24/2,247.47
  6. Step 6: Final answer
    x = 5,052.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.