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Finding the Third Proportional to 10.22 and 21.28

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Solution

The third proportional to 10.22 and 21.28 is: 44.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.22 : 21.28 = 21.28 : x
  2. Step 2: Convert to fraction form
    10.22/21.28 = 21.28/x
  3. Step 3: Cross multiply
    10.22x = 21.28 × 21.28
  4. Step 4: Simplify right side
    10.22x = 452.89
  5. Step 5: Solve for x
    x = 452.89/10.22
  6. Step 6: Final answer
    x = 44.32

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.