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Finding the Third Proportional to 32.38 and 50.13

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Solution

The third proportional to 32.38 and 50.13 is: 77.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.38 : 50.13 = 50.13 : x
  2. Step 2: Convert to fraction form
    32.38/50.13 = 50.13/x
  3. Step 3: Cross multiply
    32.38x = 50.13 × 50.13
  4. Step 4: Simplify right side
    32.38x = 2,512.52
  5. Step 5: Solve for x
    x = 2,512.52/32.38
  6. Step 6: Final answer
    x = 77.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.