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Finding the Third Proportional to 15.39 and 33.16

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Solution

The third proportional to 15.39 and 33.16 is: 71.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.39 : 33.16 = 33.16 : x
  2. Step 2: Convert to fraction form
    15.39/33.16 = 33.16/x
  3. Step 3: Cross multiply
    15.39x = 33.16 × 33.16
  4. Step 4: Simplify right side
    15.39x = 1,099.86
  5. Step 5: Solve for x
    x = 1,099.86/15.39
  6. Step 6: Final answer
    x = 71.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.