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Finding the Third Proportional to 37.28 and 50.14

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Solution

The third proportional to 37.28 and 50.14 is: 67.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.28 : 50.14 = 50.14 : x
  2. Step 2: Convert to fraction form
    37.28/50.14 = 50.14/x
  3. Step 3: Cross multiply
    37.28x = 50.14 × 50.14
  4. Step 4: Simplify right side
    37.28x = 2,513.76
  5. Step 5: Solve for x
    x = 2,513.76/37.28
  6. Step 6: Final answer
    x = 67.43

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.