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Finding the Third Proportional to 13.69 and 17.63

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Solution

The third proportional to 13.69 and 17.63 is: 22.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.69 : 17.63 = 17.63 : x
  2. Step 2: Convert to fraction form
    13.69/17.63 = 17.63/x
  3. Step 3: Cross multiply
    13.69x = 17.63 × 17.63
  4. Step 4: Simplify right side
    13.69x = 310.64
  5. Step 5: Solve for x
    x = 310.64/13.69
  6. Step 6: Final answer
    x = 22.70

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.