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Finding the Third Proportional to 38,217 and 50,969

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Solution

The third proportional to 38,217 and 50,969 is: 67,976.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,217 : 50,969 = 50,969 : x
  2. Step 2: Convert to fraction form
    38,217/50,969 = 50,969/x
  3. Step 3: Cross multiply
    38,217x = 50,969 × 50,969
  4. Step 4: Simplify right side
    38,217x = 2,597,838,961
  5. Step 5: Solve for x
    x = 2,597,838,961/38,217
  6. Step 6: Final answer
    x = 67,976.00

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.