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Finding the Third Proportional to 44,027 and 89,586

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Solution

The third proportional to 44,027 and 89,586 is: 182,289.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,027 : 89,586 = 89,586 : x
  2. Step 2: Convert to fraction form
    44,027/89,586 = 89,586/x
  3. Step 3: Cross multiply
    44,027x = 89,586 × 89,586
  4. Step 4: Simplify right side
    44,027x = 8,025,651,396
  5. Step 5: Solve for x
    x = 8,025,651,396/44,027
  6. Step 6: Final answer
    x = 182,289.31

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.