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Finding the Third Proportional to 23.07 and 33.94

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Solution

The third proportional to 23.07 and 33.94 is: 49.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.07 : 33.94 = 33.94 : x
  2. Step 2: Convert to fraction form
    23.07/33.94 = 33.94/x
  3. Step 3: Cross multiply
    23.07x = 33.94 × 33.94
  4. Step 4: Simplify right side
    23.07x = 1,152.06
  5. Step 5: Solve for x
    x = 1,152.06/23.07
  6. Step 6: Final answer
    x = 49.94

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.