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Finding the Third Proportional to 37,816 and 80,599

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Solution

The third proportional to 37,816 and 80,599 is: 171,784.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,816 : 80,599 = 80,599 : x
  2. Step 2: Convert to fraction form
    37,816/80,599 = 80,599/x
  3. Step 3: Cross multiply
    37,816x = 80,599 × 80,599
  4. Step 4: Simplify right side
    37,816x = 6,496,198,801
  5. Step 5: Solve for x
    x = 6,496,198,801/37,816
  6. Step 6: Final answer
    x = 171,784.40

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.