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Finding the Third Proportional to 23.71 and 36.06

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Solution

The third proportional to 23.71 and 36.06 is: 54.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.71 : 36.06 = 36.06 : x
  2. Step 2: Convert to fraction form
    23.71/36.06 = 36.06/x
  3. Step 3: Cross multiply
    23.71x = 36.06 × 36.06
  4. Step 4: Simplify right side
    23.71x = 1,300.43
  5. Step 5: Solve for x
    x = 1,300.43/23.71
  6. Step 6: Final answer
    x = 54.84

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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.