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Finding the Third Proportional to 3,223.56 and 4,349.31

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Solution

The third proportional to 3,223.56 and 4,349.31 is: 5,868.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,223.56 : 4,349.31 = 4,349.31 : x
  2. Step 2: Convert to fraction form
    3,223.56/4,349.31 = 4,349.31/x
  3. Step 3: Cross multiply
    3,223.56x = 4,349.31 × 4,349.31
  4. Step 4: Simplify right side
    3,223.56x = 18,916,519.22
  5. Step 5: Solve for x
    x = 18,916,519.22/3,223.56
  6. Step 6: Final answer
    x = 5,868.20

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.