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Finding the Third Proportional to 39.75 and 53.44

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Solution

The third proportional to 39.75 and 53.44 is: 71.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.75 : 53.44 = 53.44 : x
  2. Step 2: Convert to fraction form
    39.75/53.44 = 53.44/x
  3. Step 3: Cross multiply
    39.75x = 53.44 × 53.44
  4. Step 4: Simplify right side
    39.75x = 2,855.57
  5. Step 5: Solve for x
    x = 2,855.57/39.75
  6. Step 6: Final answer
    x = 71.84

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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.