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Finding the Third Proportional to 13.69 and 21.66

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Solution

The third proportional to 13.69 and 21.66 is: 34.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.69 : 21.66 = 21.66 : x
  2. Step 2: Convert to fraction form
    13.69/21.66 = 21.66/x
  3. Step 3: Cross multiply
    13.69x = 21.66 × 21.66
  4. Step 4: Simplify right side
    13.69x = 468.99
  5. Step 5: Solve for x
    x = 468.99/13.69
  6. Step 6: Final answer
    x = 34.26

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.