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Finding the Third Proportional to 35.75 and 77.69

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Solution

The third proportional to 35.75 and 77.69 is: 168.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.75 : 77.69 = 77.69 : x
  2. Step 2: Convert to fraction form
    35.75/77.69 = 77.69/x
  3. Step 3: Cross multiply
    35.75x = 77.69 × 77.69
  4. Step 4: Simplify right side
    35.75x = 6,035.35
  5. Step 5: Solve for x
    x = 6,035.35/35.75
  6. Step 6: Final answer
    x = 168.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.