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Finding the Third Proportional to 15.43 and 33.61

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Solution

The third proportional to 15.43 and 33.61 is: 73.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.43 : 33.61 = 33.61 : x
  2. Step 2: Convert to fraction form
    15.43/33.61 = 33.61/x
  3. Step 3: Cross multiply
    15.43x = 33.61 × 33.61
  4. Step 4: Simplify right side
    15.43x = 1,129.58
  5. Step 5: Solve for x
    x = 1,129.58/15.43
  6. Step 6: Final answer
    x = 73.20

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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.