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Finding the Third Proportional to 3,607.03 and 5,396.20

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Solution

The third proportional to 3,607.03 and 5,396.20 is: 8,072.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,607.03 : 5,396.20 = 5,396.20 : x
  2. Step 2: Convert to fraction form
    3,607.03/5,396.20 = 5,396.20/x
  3. Step 3: Cross multiply
    3,607.03x = 5,396.20 × 5,396.20
  4. Step 4: Simplify right side
    3,607.03x = 29,119,008.17
  5. Step 5: Solve for x
    x = 29,119,008.17/3,607.03
  6. Step 6: Final answer
    x = 8,072.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.