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Finding the Third Proportional to 36,287 and 78,793

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Solution

The third proportional to 36,287 and 78,793 is: 171,089.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,287 : 78,793 = 78,793 : x
  2. Step 2: Convert to fraction form
    36,287/78,793 = 78,793/x
  3. Step 3: Cross multiply
    36,287x = 78,793 × 78,793
  4. Step 4: Simplify right side
    36,287x = 6,208,336,849
  5. Step 5: Solve for x
    x = 6,208,336,849/36,287
  6. Step 6: Final answer
    x = 171,089.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.