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Finding the Third Proportional to 35.67 and 77.04

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Solution

The third proportional to 35.67 and 77.04 is: 166.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.67 : 77.04 = 77.04 : x
  2. Step 2: Convert to fraction form
    35.67/77.04 = 77.04/x
  3. Step 3: Cross multiply
    35.67x = 77.04 × 77.04
  4. Step 4: Simplify right side
    35.67x = 5,935.92
  5. Step 5: Solve for x
    x = 5,935.92/35.67
  6. Step 6: Final answer
    x = 166.39

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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.