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Finding the Third Proportional to 15.50 and 33.88

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Solution

The third proportional to 15.50 and 33.88 is: 74.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.50 : 33.88 = 33.88 : x
  2. Step 2: Convert to fraction form
    15.50/33.88 = 33.88/x
  3. Step 3: Cross multiply
    15.50x = 33.88 × 33.88
  4. Step 4: Simplify right side
    15.50x = 1,147.52
  5. Step 5: Solve for x
    x = 1,147.52/15.50
  6. Step 6: Final answer
    x = 74.03

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.