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Finding the Third Proportional to 36,432 and 80,000

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Solution

The third proportional to 36,432 and 80,000 is: 175,669.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,432 : 80,000 = 80,000 : x
  2. Step 2: Convert to fraction form
    36,432/80,000 = 80,000/x
  3. Step 3: Cross multiply
    36,432x = 80,000 × 80,000
  4. Step 4: Simplify right side
    36,432x = 6,400,000,000
  5. Step 5: Solve for x
    x = 6,400,000,000/36,432
  6. Step 6: Final answer
    x = 175,669.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.