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Finding the Third Proportional to 37,027 and 80,207

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Solution

The third proportional to 37,027 and 80,207 is: 173,742.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,027 : 80,207 = 80,207 : x
  2. Step 2: Convert to fraction form
    37,027/80,207 = 80,207/x
  3. Step 3: Cross multiply
    37,027x = 80,207 × 80,207
  4. Step 4: Simplify right side
    37,027x = 6,433,162,849
  5. Step 5: Solve for x
    x = 6,433,162,849/37,027
  6. Step 6: Final answer
    x = 173,742.48

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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.