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Finding the Third Proportional to 39.75 and 54.03

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Solution

The third proportional to 39.75 and 54.03 is: 73.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.75 : 54.03 = 54.03 : x
  2. Step 2: Convert to fraction form
    39.75/54.03 = 54.03/x
  3. Step 3: Cross multiply
    39.75x = 54.03 × 54.03
  4. Step 4: Simplify right side
    39.75x = 2,919.38
  5. Step 5: Solve for x
    x = 2,919.38/39.75
  6. Step 6: Final answer
    x = 73.44

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.