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Finding the Third Proportional to 22,996 and 35,162

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Solution

The third proportional to 22,996 and 35,162 is: 53,764.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,996 : 35,162 = 35,162 : x
  2. Step 2: Convert to fraction form
    22,996/35,162 = 35,162/x
  3. Step 3: Cross multiply
    22,996x = 35,162 × 35,162
  4. Step 4: Simplify right side
    22,996x = 1,236,366,244
  5. Step 5: Solve for x
    x = 1,236,366,244/22,996
  6. Step 6: Final answer
    x = 53,764.40

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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.