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Finding the Third Proportional to 23,000 and 35,162

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Solution

The third proportional to 23,000 and 35,162 is: 53,755.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,000 : 35,162 = 35,162 : x
  2. Step 2: Convert to fraction form
    23,000/35,162 = 35,162/x
  3. Step 3: Cross multiply
    23,000x = 35,162 × 35,162
  4. Step 4: Simplify right side
    23,000x = 1,236,366,244
  5. Step 5: Solve for x
    x = 1,236,366,244/23,000
  6. Step 6: Final answer
    x = 53,755.05

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.