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Finding the Third Proportional to 13.45 and 18.84

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Solution

The third proportional to 13.45 and 18.84 is: 26.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.45 : 18.84 = 18.84 : x
  2. Step 2: Convert to fraction form
    13.45/18.84 = 18.84/x
  3. Step 3: Cross multiply
    13.45x = 18.84 × 18.84
  4. Step 4: Simplify right side
    13.45x = 355.09
  5. Step 5: Solve for x
    x = 355.09/13.45
  6. Step 6: Final answer
    x = 26.39

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.