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Finding the Third Proportional to 5,902 and 8,631

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Solution

The third proportional to 5,902 and 8,631 is: 12,621.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,902 : 8,631 = 8,631 : x
  2. Step 2: Convert to fraction form
    5,902/8,631 = 8,631/x
  3. Step 3: Cross multiply
    5,902x = 8,631 × 8,631
  4. Step 4: Simplify right side
    5,902x = 74,494,161
  5. Step 5: Solve for x
    x = 74,494,161/5,902
  6. Step 6: Final answer
    x = 12,621.85

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.