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Finding the Third Proportional to 31,736 and 68,674

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Solution

The third proportional to 31,736 and 68,674 is: 148,604.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,736 : 68,674 = 68,674 : x
  2. Step 2: Convert to fraction form
    31,736/68,674 = 68,674/x
  3. Step 3: Cross multiply
    31,736x = 68,674 × 68,674
  4. Step 4: Simplify right side
    31,736x = 4,716,118,276
  5. Step 5: Solve for x
    x = 4,716,118,276/31,736
  6. Step 6: Final answer
    x = 148,604.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.