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Finding the Third Proportional to 4,077.84 and 6,202.20

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Solution

The third proportional to 4,077.84 and 6,202.20 is: 9,433.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,077.84 : 6,202.20 = 6,202.20 : x
  2. Step 2: Convert to fraction form
    4,077.84/6,202.20 = 6,202.20/x
  3. Step 3: Cross multiply
    4,077.84x = 6,202.20 × 6,202.20
  4. Step 4: Simplify right side
    4,077.84x = 38,467,226.69
  5. Step 5: Solve for x
    x = 38,467,226.69/4,077.84
  6. Step 6: Final answer
    x = 9,433.23

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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.