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Finding the Third Proportional to 36,952 and 80,224

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Solution

The third proportional to 36,952 and 80,224 is: 174,168.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,952 : 80,224 = 80,224 : x
  2. Step 2: Convert to fraction form
    36,952/80,224 = 80,224/x
  3. Step 3: Cross multiply
    36,952x = 80,224 × 80,224
  4. Step 4: Simplify right side
    36,952x = 6,435,890,176
  5. Step 5: Solve for x
    x = 6,435,890,176/36,952
  6. Step 6: Final answer
    x = 174,168.93

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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.