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Finding the Third Proportional to 38,213.50 and 50,965.13

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Solution

The third proportional to 38,213.50 and 50,965.13 is: 67,971.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,213.50 : 50,965.13 = 50,965.13 : x
  2. Step 2: Convert to fraction form
    38,213.50/50,965.13 = 50,965.13/x
  3. Step 3: Cross multiply
    38,213.50x = 50,965.13 × 50,965.13
  4. Step 4: Simplify right side
    38,213.50x = 2,597,443,966.27
  5. Step 5: Solve for x
    x = 2,597,443,966.27/38,213.50
  6. Step 6: Final answer
    x = 67,971.89

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