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Finding the Third Proportional to 29,234 and 43,867

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Solution

The third proportional to 29,234 and 43,867 is: 65,824.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,234 : 43,867 = 43,867 : x
  2. Step 2: Convert to fraction form
    29,234/43,867 = 43,867/x
  3. Step 3: Cross multiply
    29,234x = 43,867 × 43,867
  4. Step 4: Simplify right side
    29,234x = 1,924,313,689
  5. Step 5: Solve for x
    x = 1,924,313,689/29,234
  6. Step 6: Final answer
    x = 65,824.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.