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Finding the Third Proportional to 10.22 and 21.84

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Solution

The third proportional to 10.22 and 21.84 is: 46.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.22 : 21.84 = 21.84 : x
  2. Step 2: Convert to fraction form
    10.22/21.84 = 21.84/x
  3. Step 3: Cross multiply
    10.22x = 21.84 × 21.84
  4. Step 4: Simplify right side
    10.22x = 477.15
  5. Step 5: Solve for x
    x = 477.15/10.22
  6. Step 6: Final answer
    x = 46.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.