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Finding the Third Proportional to 23.06 and 35.06

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Solution

The third proportional to 23.06 and 35.06 is: 53.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.06 : 35.06 = 35.06 : x
  2. Step 2: Convert to fraction form
    23.06/35.06 = 35.06/x
  3. Step 3: Cross multiply
    23.06x = 35.06 × 35.06
  4. Step 4: Simplify right side
    23.06x = 1,229.38
  5. Step 5: Solve for x
    x = 1,229.38/23.06
  6. Step 6: Final answer
    x = 53.31

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.