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Finding the Third Proportional to 10.42 and 22.49

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Solution

The third proportional to 10.42 and 22.49 is: 48.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.42 : 22.49 = 22.49 : x
  2. Step 2: Convert to fraction form
    10.42/22.49 = 22.49/x
  3. Step 3: Cross multiply
    10.42x = 22.49 × 22.49
  4. Step 4: Simplify right side
    10.42x = 505.92
  5. Step 5: Solve for x
    x = 505.92/10.42
  6. Step 6: Final answer
    x = 48.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.