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Finding the Third Proportional to 10.22 and 13.05

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Solution

The third proportional to 10.22 and 13.05 is: 16.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.22 : 13.05 = 13.05 : x
  2. Step 2: Convert to fraction form
    10.22/13.05 = 13.05/x
  3. Step 3: Cross multiply
    10.22x = 13.05 × 13.05
  4. Step 4: Simplify right side
    10.22x = 170.22
  5. Step 5: Solve for x
    x = 170.22/10.22
  6. Step 6: Final answer
    x = 16.66

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.