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Finding the Third Proportional to 4,003.49 and 6,220.23

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Solution

The third proportional to 4,003.49 and 6,220.23 is: 9,664.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,003.49 : 6,220.23 = 6,220.23 : x
  2. Step 2: Convert to fraction form
    4,003.49/6,220.23 = 6,220.23/x
  3. Step 3: Cross multiply
    4,003.49x = 6,220.23 × 6,220.23
  4. Step 4: Simplify right side
    4,003.49x = 38,691,267.08
  5. Step 5: Solve for x
    x = 38,691,267.08/4,003.49
  6. Step 6: Final answer
    x = 9,664.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.