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Finding the Third Proportional to 36,269 and 76,893

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Solution

The third proportional to 36,269 and 76,893 is: 163,018.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,269 : 76,893 = 76,893 : x
  2. Step 2: Convert to fraction form
    36,269/76,893 = 76,893/x
  3. Step 3: Cross multiply
    36,269x = 76,893 × 76,893
  4. Step 4: Simplify right side
    36,269x = 5,912,533,449
  5. Step 5: Solve for x
    x = 5,912,533,449/36,269
  6. Step 6: Final answer
    x = 163,018.93

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.