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Finding the Third Proportional to 6,474 and 8,035

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Solution

The third proportional to 6,474 and 8,035 is: 9,972.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474 : 8,035 = 8,035 : x
  2. Step 2: Convert to fraction form
    6,474/8,035 = 8,035/x
  3. Step 3: Cross multiply
    6,474x = 8,035 × 8,035
  4. Step 4: Simplify right side
    6,474x = 64,561,225
  5. Step 5: Solve for x
    x = 64,561,225/6,474
  6. Step 6: Final answer
    x = 9,972.39

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Why These Related Problems?

These problems maintain the same ratio (1.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.