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Finding the Third Proportional to 35.67 and 53.67

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Solution

The third proportional to 35.67 and 53.67 is: 80.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.67 : 53.67 = 53.67 : x
  2. Step 2: Convert to fraction form
    35.67/53.67 = 53.67/x
  3. Step 3: Cross multiply
    35.67x = 53.67 × 53.67
  4. Step 4: Simplify right side
    35.67x = 2,880.67
  5. Step 5: Solve for x
    x = 2,880.67/35.67
  6. Step 6: Final answer
    x = 80.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.