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Finding the Third Proportional to 24.76 and 54.26

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Solution

The third proportional to 24.76 and 54.26 is: 118.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.76 : 54.26 = 54.26 : x
  2. Step 2: Convert to fraction form
    24.76/54.26 = 54.26/x
  3. Step 3: Cross multiply
    24.76x = 54.26 × 54.26
  4. Step 4: Simplify right side
    24.76x = 2,944.55
  5. Step 5: Solve for x
    x = 2,944.55/24.76
  6. Step 6: Final answer
    x = 118.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.