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Finding the Third Proportional to 34.31 and 50.81

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Solution

The third proportional to 34.31 and 50.81 is: 75.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.31 : 50.81 = 50.81 : x
  2. Step 2: Convert to fraction form
    34.31/50.81 = 50.81/x
  3. Step 3: Cross multiply
    34.31x = 50.81 × 50.81
  4. Step 4: Simplify right side
    34.31x = 2,581.91
  5. Step 5: Solve for x
    x = 2,581.91/34.31
  6. Step 6: Final answer
    x = 75.25

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.