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Finding the Third Proportional to 16.41 and 35.39

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Solution

The third proportional to 16.41 and 35.39 is: 76.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.41 : 35.39 = 35.39 : x
  2. Step 2: Convert to fraction form
    16.41/35.39 = 35.39/x
  3. Step 3: Cross multiply
    16.41x = 35.39 × 35.39
  4. Step 4: Simplify right side
    16.41x = 1,252.50
  5. Step 5: Solve for x
    x = 1,252.50/16.41
  6. Step 6: Final answer
    x = 76.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.