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Finding the Third Proportional to 24.10 and 34.24

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Solution

The third proportional to 24.10 and 34.24 is: 48.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.10 : 34.24 = 34.24 : x
  2. Step 2: Convert to fraction form
    24.10/34.24 = 34.24/x
  3. Step 3: Cross multiply
    24.10x = 34.24 × 34.24
  4. Step 4: Simplify right side
    24.10x = 1,172.60
  5. Step 5: Solve for x
    x = 1,172.60/24.10
  6. Step 6: Final answer
    x = 48.66

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.