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Finding the Third Proportional to 13.69 and 26.34

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Solution

The third proportional to 13.69 and 26.34 is: 50.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.69 : 26.34 = 26.34 : x
  2. Step 2: Convert to fraction form
    13.69/26.34 = 26.34/x
  3. Step 3: Cross multiply
    13.69x = 26.34 × 26.34
  4. Step 4: Simplify right side
    13.69x = 693.99
  5. Step 5: Solve for x
    x = 693.99/13.69
  6. Step 6: Final answer
    x = 50.70

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.