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Finding the Third Proportional to 32.06 and 50.81

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Solution

The third proportional to 32.06 and 50.81 is: 80.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.06 : 50.81 = 50.81 : x
  2. Step 2: Convert to fraction form
    32.06/50.81 = 50.81/x
  3. Step 3: Cross multiply
    32.06x = 50.81 × 50.81
  4. Step 4: Simplify right side
    32.06x = 2,581.91
  5. Step 5: Solve for x
    x = 2,581.91/32.06
  6. Step 6: Final answer
    x = 80.53

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.