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Finding the Third Proportional to 27,850 and 43,162

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Solution

The third proportional to 27,850 and 43,162 is: 66,892.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,850 : 43,162 = 43,162 : x
  2. Step 2: Convert to fraction form
    27,850/43,162 = 43,162/x
  3. Step 3: Cross multiply
    27,850x = 43,162 × 43,162
  4. Step 4: Simplify right side
    27,850x = 1,862,958,244
  5. Step 5: Solve for x
    x = 1,862,958,244/27,850
  6. Step 6: Final answer
    x = 66,892.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.