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Finding the Third Proportional to 16.54 and 35.54

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Solution

The third proportional to 16.54 and 35.54 is: 76.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.54 : 35.54 = 35.54 : x
  2. Step 2: Convert to fraction form
    16.54/35.54 = 35.54/x
  3. Step 3: Cross multiply
    16.54x = 35.54 × 35.54
  4. Step 4: Simplify right side
    16.54x = 1,263.15
  5. Step 5: Solve for x
    x = 1,263.15/16.54
  6. Step 6: Final answer
    x = 76.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.