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Finding the Third Proportional to 35.73 and 76.41

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Solution

The third proportional to 35.73 and 76.41 is: 163.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.73 : 76.41 = 76.41 : x
  2. Step 2: Convert to fraction form
    35.73/76.41 = 76.41/x
  3. Step 3: Cross multiply
    35.73x = 76.41 × 76.41
  4. Step 4: Simplify right side
    35.73x = 5,838.81
  5. Step 5: Solve for x
    x = 5,838.81/35.73
  6. Step 6: Final answer
    x = 163.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.