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Finding the Third Proportional to 15.47 and 33.82

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Solution

The third proportional to 15.47 and 33.82 is: 73.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.47 : 33.82 = 33.82 : x
  2. Step 2: Convert to fraction form
    15.47/33.82 = 33.82/x
  3. Step 3: Cross multiply
    15.47x = 33.82 × 33.82
  4. Step 4: Simplify right side
    15.47x = 1,143.81
  5. Step 5: Solve for x
    x = 1,143.81/15.47
  6. Step 6: Final answer
    x = 73.94

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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.