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Finding the Third Proportional to 35.50 and 80.88

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Solution

The third proportional to 35.50 and 80.88 is: 184.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.50 : 80.88 = 80.88 : x
  2. Step 2: Convert to fraction form
    35.50/80.88 = 80.88/x
  3. Step 3: Cross multiply
    35.50x = 80.88 × 80.88
  4. Step 4: Simplify right side
    35.50x = 6,540.77
  5. Step 5: Solve for x
    x = 6,540.77/35.50
  6. Step 6: Final answer
    x = 184.25

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.