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Finding the Third Proportional to 15.48 and 33.49

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Solution

The third proportional to 15.48 and 33.49 is: 72.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.48 : 33.49 = 33.49 : x
  2. Step 2: Convert to fraction form
    15.48/33.49 = 33.49/x
  3. Step 3: Cross multiply
    15.48x = 33.49 × 33.49
  4. Step 4: Simplify right side
    15.48x = 1,121.33
  5. Step 5: Solve for x
    x = 1,121.33/15.48
  6. Step 6: Final answer
    x = 72.45

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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.