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Finding the Third Proportional to 15.28 and 33.09

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Solution

The third proportional to 15.28 and 33.09 is: 71.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.28 : 33.09 = 33.09 : x
  2. Step 2: Convert to fraction form
    15.28/33.09 = 33.09/x
  3. Step 3: Cross multiply
    15.28x = 33.09 × 33.09
  4. Step 4: Simplify right side
    15.28x = 1,095.20
  5. Step 5: Solve for x
    x = 1,095.20/15.28
  6. Step 6: Final answer
    x = 71.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.