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Finding the Third Proportional to 24.10 and 49.46

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Solution

The third proportional to 24.10 and 49.46 is: 101.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.10 : 49.46 = 49.46 : x
  2. Step 2: Convert to fraction form
    24.10/49.46 = 49.46/x
  3. Step 3: Cross multiply
    24.10x = 49.46 × 49.46
  4. Step 4: Simplify right side
    24.10x = 2,446.54
  5. Step 5: Solve for x
    x = 2,446.54/24.10
  6. Step 6: Final answer
    x = 101.53

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.