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Finding the Third Proportional to 23.52 and 35.64

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Solution

The third proportional to 23.52 and 35.64 is: 53.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.52 : 35.64 = 35.64 : x
  2. Step 2: Convert to fraction form
    23.52/35.64 = 35.64/x
  3. Step 3: Cross multiply
    23.52x = 35.64 × 35.64
  4. Step 4: Simplify right side
    23.52x = 1,269.92
  5. Step 5: Solve for x
    x = 1,269.92/23.52
  6. Step 6: Final answer
    x = 53.99

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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.