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Finding the Third Proportional to 29.50 and 80.13

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Solution

The third proportional to 29.50 and 80.13 is: 217.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.50 : 80.13 = 80.13 : x
  2. Step 2: Convert to fraction form
    29.50/80.13 = 80.13/x
  3. Step 3: Cross multiply
    29.50x = 80.13 × 80.13
  4. Step 4: Simplify right side
    29.50x = 6,420.02
  5. Step 5: Solve for x
    x = 6,420.02/29.50
  6. Step 6: Final answer
    x = 217.63

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.