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Finding the Third Proportional to 39.94 and 104.53

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Solution

The third proportional to 39.94 and 104.53 is: 273.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.94 : 104.53 = 104.53 : x
  2. Step 2: Convert to fraction form
    39.94/104.53 = 104.53/x
  3. Step 3: Cross multiply
    39.94x = 104.53 × 104.53
  4. Step 4: Simplify right side
    39.94x = 10,926.78
  5. Step 5: Solve for x
    x = 10,926.78/39.94
  6. Step 6: Final answer
    x = 273.60

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Why These Related Problems?

These problems maintain the same ratio (2.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.