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Finding the Third Proportional to 31,008 and 67,812

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Solution

The third proportional to 31,008 and 67,812 is: 148,299.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,008 : 67,812 = 67,812 : x
  2. Step 2: Convert to fraction form
    31,008/67,812 = 67,812/x
  3. Step 3: Cross multiply
    31,008x = 67,812 × 67,812
  4. Step 4: Simplify right side
    31,008x = 4,598,467,344
  5. Step 5: Solve for x
    x = 4,598,467,344/31,008
  6. Step 6: Final answer
    x = 148,299.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.