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Finding the Third Proportional to 38,826 and 91,717

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Solution

The third proportional to 38,826 and 91,717 is: 216,659.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,826 : 91,717 = 91,717 : x
  2. Step 2: Convert to fraction form
    38,826/91,717 = 91,717/x
  3. Step 3: Cross multiply
    38,826x = 91,717 × 91,717
  4. Step 4: Simplify right side
    38,826x = 8,412,008,089
  5. Step 5: Solve for x
    x = 8,412,008,089/38,826
  6. Step 6: Final answer
    x = 216,659.15

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.