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Finding the Third Proportional to 10.13 and 21.94

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Solution

The third proportional to 10.13 and 21.94 is: 47.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.13 : 21.94 = 21.94 : x
  2. Step 2: Convert to fraction form
    10.13/21.94 = 21.94/x
  3. Step 3: Cross multiply
    10.13x = 21.94 × 21.94
  4. Step 4: Simplify right side
    10.13x = 481.25
  5. Step 5: Solve for x
    x = 481.25/10.13
  6. Step 6: Final answer
    x = 47.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.