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Finding the Third Proportional to 22 and 26.63

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Solution

The third proportional to 22 and 26.63 is: 32.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22 : 26.63 = 26.63 : x
  2. Step 2: Convert to fraction form
    22/26.63 = 26.63/x
  3. Step 3: Cross multiply
    22x = 26.63 × 26.63
  4. Step 4: Simplify right side
    22x = 708.89
  5. Step 5: Solve for x
    x = 708.89/22
  6. Step 6: Final answer
    x = 32.22

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.