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Finding the Third Proportional to 21.98 and 30.21

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Solution

The third proportional to 21.98 and 30.21 is: 41.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.98 : 30.21 = 30.21 : x
  2. Step 2: Convert to fraction form
    21.98/30.21 = 30.21/x
  3. Step 3: Cross multiply
    21.98x = 30.21 × 30.21
  4. Step 4: Simplify right side
    21.98x = 912.70
  5. Step 5: Solve for x
    x = 912.70/21.98
  6. Step 6: Final answer
    x = 41.52

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.