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Finding the Third Proportional to 12.22 and 26.70

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Solution

The third proportional to 12.22 and 26.70 is: 58.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.22 : 26.70 = 26.70 : x
  2. Step 2: Convert to fraction form
    12.22/26.70 = 26.70/x
  3. Step 3: Cross multiply
    12.22x = 26.70 × 26.70
  4. Step 4: Simplify right side
    12.22x = 712.72
  5. Step 5: Solve for x
    x = 712.72/12.22
  6. Step 6: Final answer
    x = 58.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.