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Finding the Third Proportional to 22.42 and 48.43

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Solution

The third proportional to 22.42 and 48.43 is: 104.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.42 : 48.43 = 48.43 : x
  2. Step 2: Convert to fraction form
    22.42/48.43 = 48.43/x
  3. Step 3: Cross multiply
    22.42x = 48.43 × 48.43
  4. Step 4: Simplify right side
    22.42x = 2,345.81
  5. Step 5: Solve for x
    x = 2,345.81/22.42
  6. Step 6: Final answer
    x = 104.61

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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.