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Finding the Third Proportional to 28.50 and 54.38

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Solution

The third proportional to 28.50 and 54.38 is: 103.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.50 : 54.38 = 54.38 : x
  2. Step 2: Convert to fraction form
    28.50/54.38 = 54.38/x
  3. Step 3: Cross multiply
    28.50x = 54.38 × 54.38
  4. Step 4: Simplify right side
    28.50x = 2,956.64
  5. Step 5: Solve for x
    x = 2,956.64/28.50
  6. Step 6: Final answer
    x = 103.74

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.