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Finding the Third Proportional to 22.83 and 49.26

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Solution

The third proportional to 22.83 and 49.26 is: 106.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.83 : 49.26 = 49.26 : x
  2. Step 2: Convert to fraction form
    22.83/49.26 = 49.26/x
  3. Step 3: Cross multiply
    22.83x = 49.26 × 49.26
  4. Step 4: Simplify right side
    22.83x = 2,426.11
  5. Step 5: Solve for x
    x = 2,426.11/22.83
  6. Step 6: Final answer
    x = 106.29

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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.