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Finding the Third Proportional to 23,660 and 35,286

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Solution

The third proportional to 23,660 and 35,286 is: 52,624.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,660 : 35,286 = 35,286 : x
  2. Step 2: Convert to fraction form
    23,660/35,286 = 35,286/x
  3. Step 3: Cross multiply
    23,660x = 35,286 × 35,286
  4. Step 4: Simplify right side
    23,660x = 1,245,101,796
  5. Step 5: Solve for x
    x = 1,245,101,796/23,660
  6. Step 6: Final answer
    x = 52,624.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.