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Finding the Third Proportional to 38,886 and 91,059

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Solution

The third proportional to 38,886 and 91,059 is: 213,232.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,886 : 91,059 = 91,059 : x
  2. Step 2: Convert to fraction form
    38,886/91,059 = 91,059/x
  3. Step 3: Cross multiply
    38,886x = 91,059 × 91,059
  4. Step 4: Simplify right side
    38,886x = 8,291,741,481
  5. Step 5: Solve for x
    x = 8,291,741,481/38,886
  6. Step 6: Final answer
    x = 213,232.05

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.