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Finding the Third Proportional to 13.54 and 21.87

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Solution

The third proportional to 13.54 and 21.87 is: 35.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.54 : 21.87 = 21.87 : x
  2. Step 2: Convert to fraction form
    13.54/21.87 = 21.87/x
  3. Step 3: Cross multiply
    13.54x = 21.87 × 21.87
  4. Step 4: Simplify right side
    13.54x = 478.35
  5. Step 5: Solve for x
    x = 478.35/13.54
  6. Step 6: Final answer
    x = 35.33

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.