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Finding the Third Proportional to 38,214.50 and 50,966

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Solution

The third proportional to 38,214.50 and 50,966 is: 67,972.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,214.50 : 50,966 = 50,966 : x
  2. Step 2: Convert to fraction form
    38,214.50/50,966 = 50,966/x
  3. Step 3: Cross multiply
    38,214.50x = 50,966 × 50,966
  4. Step 4: Simplify right side
    38,214.50x = 2,597,533,156
  5. Step 5: Solve for x
    x = 2,597,533,156/38,214.50
  6. Step 6: Final answer
    x = 67,972.45

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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.