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Finding the Third Proportional to 22.78 and 49.29

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Solution

The third proportional to 22.78 and 49.29 is: 106.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.78 : 49.29 = 49.29 : x
  2. Step 2: Convert to fraction form
    22.78/49.29 = 49.29/x
  3. Step 3: Cross multiply
    22.78x = 49.29 × 49.29
  4. Step 4: Simplify right side
    22.78x = 2,429.41
  5. Step 5: Solve for x
    x = 2,429.41/22.78
  6. Step 6: Final answer
    x = 106.64

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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.