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Finding the Third Proportional to 23.27 and 54.28

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Solution

The third proportional to 23.27 and 54.28 is: 126.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.27 : 54.28 = 54.28 : x
  2. Step 2: Convert to fraction form
    23.27/54.28 = 54.28/x
  3. Step 3: Cross multiply
    23.27x = 54.28 × 54.28
  4. Step 4: Simplify right side
    23.27x = 2,946.45
  5. Step 5: Solve for x
    x = 2,946.45/23.27
  6. Step 6: Final answer
    x = 126.60

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.