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Finding the Third Proportional to 24.05 and 52.21

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Solution

The third proportional to 24.05 and 52.21 is: 113.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.05 : 52.21 = 52.21 : x
  2. Step 2: Convert to fraction form
    24.05/52.21 = 52.21/x
  3. Step 3: Cross multiply
    24.05x = 52.21 × 52.21
  4. Step 4: Simplify right side
    24.05x = 2,725.57
  5. Step 5: Solve for x
    x = 2,725.57/24.05
  6. Step 6: Final answer
    x = 113.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.