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Finding the Third Proportional to 35.41 and 81.24

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Solution

The third proportional to 35.41 and 81.24 is: 186.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.41 : 81.24 = 81.24 : x
  2. Step 2: Convert to fraction form
    35.41/81.24 = 81.24/x
  3. Step 3: Cross multiply
    35.41x = 81.24 × 81.24
  4. Step 4: Simplify right side
    35.41x = 6,599.33
  5. Step 5: Solve for x
    x = 6,599.33/35.41
  6. Step 6: Final answer
    x = 186.37

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.