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Finding the Third Proportional to 31,922 and 68,583

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Solution

The third proportional to 31,922 and 68,583 is: 147,347.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,922 : 68,583 = 68,583 : x
  2. Step 2: Convert to fraction form
    31,922/68,583 = 68,583/x
  3. Step 3: Cross multiply
    31,922x = 68,583 × 68,583
  4. Step 4: Simplify right side
    31,922x = 4,703,627,889
  5. Step 5: Solve for x
    x = 4,703,627,889/31,922
  6. Step 6: Final answer
    x = 147,347.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.