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Finding the Third Proportional to 3,808.03 and 5,680.22

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Solution

The third proportional to 3,808.03 and 5,680.22 is: 8,472.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,808.03 : 5,680.22 = 5,680.22 : x
  2. Step 2: Convert to fraction form
    3,808.03/5,680.22 = 5,680.22/x
  3. Step 3: Cross multiply
    3,808.03x = 5,680.22 × 5,680.22
  4. Step 4: Simplify right side
    3,808.03x = 32,264,885.05
  5. Step 5: Solve for x
    x = 32,264,885.05/3,808.03
  6. Step 6: Final answer
    x = 8,472.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.