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Finding the Third Proportional to 23.88 and 35.88

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Solution

The third proportional to 23.88 and 35.88 is: 53.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.88 : 35.88 = 35.88 : x
  2. Step 2: Convert to fraction form
    23.88/35.88 = 35.88/x
  3. Step 3: Cross multiply
    23.88x = 35.88 × 35.88
  4. Step 4: Simplify right side
    23.88x = 1,287.02
  5. Step 5: Solve for x
    x = 1,287.02/23.88
  6. Step 6: Final answer
    x = 53.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.