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Finding the Third Proportional to 24.26 and 52.95

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Solution

The third proportional to 24.26 and 52.95 is: 115.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.26 : 52.95 = 52.95 : x
  2. Step 2: Convert to fraction form
    24.26/52.95 = 52.95/x
  3. Step 3: Cross multiply
    24.26x = 52.95 × 52.95
  4. Step 4: Simplify right side
    24.26x = 2,803.21
  5. Step 5: Solve for x
    x = 2,803.21/24.26
  6. Step 6: Final answer
    x = 115.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.