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Finding the Third Proportional to 23.19 and 33.56

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Solution

The third proportional to 23.19 and 33.56 is: 48.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.19 : 33.56 = 33.56 : x
  2. Step 2: Convert to fraction form
    23.19/33.56 = 33.56/x
  3. Step 3: Cross multiply
    23.19x = 33.56 × 33.56
  4. Step 4: Simplify right side
    23.19x = 1,126.44
  5. Step 5: Solve for x
    x = 1,126.44/23.19
  6. Step 6: Final answer
    x = 48.58

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.