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Finding the Third Proportional to 10.21 and 20.61

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Solution

The third proportional to 10.21 and 20.61 is: 41.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.21 : 20.61 = 20.61 : x
  2. Step 2: Convert to fraction form
    10.21/20.61 = 20.61/x
  3. Step 3: Cross multiply
    10.21x = 20.61 × 20.61
  4. Step 4: Simplify right side
    10.21x = 424.75
  5. Step 5: Solve for x
    x = 424.75/10.21
  6. Step 6: Final answer
    x = 41.60

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.