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Finding the Third Proportional to 15.50 and 33.86

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Solution

The third proportional to 15.50 and 33.86 is: 73.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.50 : 33.86 = 33.86 : x
  2. Step 2: Convert to fraction form
    15.50/33.86 = 33.86/x
  3. Step 3: Cross multiply
    15.50x = 33.86 × 33.86
  4. Step 4: Simplify right side
    15.50x = 1,146.19
  5. Step 5: Solve for x
    x = 1,146.19/15.50
  6. Step 6: Final answer
    x = 73.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.