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Finding the Third Proportional to 24.74 and 51.21

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Solution

The third proportional to 24.74 and 51.21 is: 106.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.74 : 51.21 = 51.21 : x
  2. Step 2: Convert to fraction form
    24.74/51.21 = 51.21/x
  3. Step 3: Cross multiply
    24.74x = 51.21 × 51.21
  4. Step 4: Simplify right side
    24.74x = 2,622.80
  5. Step 5: Solve for x
    x = 2,622.80/24.74
  6. Step 6: Final answer
    x = 106.02

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.