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Finding the Third Proportional to 38,940 and 91,194

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Solution

The third proportional to 38,940 and 91,194 is: 213,568.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,940 : 91,194 = 91,194 : x
  2. Step 2: Convert to fraction form
    38,940/91,194 = 91,194/x
  3. Step 3: Cross multiply
    38,940x = 91,194 × 91,194
  4. Step 4: Simplify right side
    38,940x = 8,316,345,636
  5. Step 5: Solve for x
    x = 8,316,345,636/38,940
  6. Step 6: Final answer
    x = 213,568.20

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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.