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Finding the Third Proportional to 36,979.50 and 80,871

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Solution

The third proportional to 36,979.50 and 80,871 is: 176,857.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,979.50 : 80,871 = 80,871 : x
  2. Step 2: Convert to fraction form
    36,979.50/80,871 = 80,871/x
  3. Step 3: Cross multiply
    36,979.50x = 80,871 × 80,871
  4. Step 4: Simplify right side
    36,979.50x = 6,540,118,641
  5. Step 5: Solve for x
    x = 6,540,118,641/36,979.50
  6. Step 6: Final answer
    x = 176,857.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.