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Finding the Third Proportional to 22.83 and 26.22

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Solution

The third proportional to 22.83 and 26.22 is: 30.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.83 : 26.22 = 26.22 : x
  2. Step 2: Convert to fraction form
    22.83/26.22 = 26.22/x
  3. Step 3: Cross multiply
    22.83x = 26.22 × 26.22
  4. Step 4: Simplify right side
    22.83x = 687.36
  5. Step 5: Solve for x
    x = 687.36/22.83
  6. Step 6: Final answer
    x = 30.11

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.