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Finding the Third Proportional to 24.80 and 52.36

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Solution

The third proportional to 24.80 and 52.36 is: 110.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.80 : 52.36 = 52.36 : x
  2. Step 2: Convert to fraction form
    24.80/52.36 = 52.36/x
  3. Step 3: Cross multiply
    24.80x = 52.36 × 52.36
  4. Step 4: Simplify right side
    24.80x = 2,741.49
  5. Step 5: Solve for x
    x = 2,741.49/24.80
  6. Step 6: Final answer
    x = 110.54

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.