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Finding the Third Proportional to 31.50 and 79

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Solution

The third proportional to 31.50 and 79 is: 198.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.50 : 79 = 79 : x
  2. Step 2: Convert to fraction form
    31.50/79 = 79/x
  3. Step 3: Cross multiply
    31.50x = 79 × 79
  4. Step 4: Simplify right side
    31.50x = 6,241
  5. Step 5: Solve for x
    x = 6,241/31.50
  6. Step 6: Final answer
    x = 198.13

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Why These Related Problems?

These problems maintain the same ratio (2.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.