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Finding the Third Proportional to 4,003.80 and 6,076.90

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Solution

The third proportional to 4,003.80 and 6,076.90 is: 9,223.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,003.80 : 6,076.90 = 6,076.90 : x
  2. Step 2: Convert to fraction form
    4,003.80/6,076.90 = 6,076.90/x
  3. Step 3: Cross multiply
    4,003.80x = 6,076.90 × 6,076.90
  4. Step 4: Simplify right side
    4,003.80x = 36,928,694.62
  5. Step 5: Solve for x
    x = 36,928,694.62/4,003.80
  6. Step 6: Final answer
    x = 9,223.40

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.