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Finding the Third Proportional to 10.14 and 21.09

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Solution

The third proportional to 10.14 and 21.09 is: 43.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.14 : 21.09 = 21.09 : x
  2. Step 2: Convert to fraction form
    10.14/21.09 = 21.09/x
  3. Step 3: Cross multiply
    10.14x = 21.09 × 21.09
  4. Step 4: Simplify right side
    10.14x = 444.81
  5. Step 5: Solve for x
    x = 444.81/10.14
  6. Step 6: Final answer
    x = 43.85

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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.