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Finding the Third Proportional to 44,027.50 and 85,849

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Solution

The third proportional to 44,027.50 and 85,849 is: 167,396.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,027.50 : 85,849 = 85,849 : x
  2. Step 2: Convert to fraction form
    44,027.50/85,849 = 85,849/x
  3. Step 3: Cross multiply
    44,027.50x = 85,849 × 85,849
  4. Step 4: Simplify right side
    44,027.50x = 7,370,050,801
  5. Step 5: Solve for x
    x = 7,370,050,801/44,027.50
  6. Step 6: Final answer
    x = 167,396.53

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.