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Finding the Third Proportional to 32.44 and 50.78

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Solution

The third proportional to 32.44 and 50.78 is: 79.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.44 : 50.78 = 50.78 : x
  2. Step 2: Convert to fraction form
    32.44/50.78 = 50.78/x
  3. Step 3: Cross multiply
    32.44x = 50.78 × 50.78
  4. Step 4: Simplify right side
    32.44x = 2,578.74
  5. Step 5: Solve for x
    x = 2,578.74/32.44
  6. Step 6: Final answer
    x = 79.50

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.