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Finding the Third Proportional to 36,890 and 55,372

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Solution

The third proportional to 36,890 and 55,372 is: 83,113.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,890 : 55,372 = 55,372 : x
  2. Step 2: Convert to fraction form
    36,890/55,372 = 55,372/x
  3. Step 3: Cross multiply
    36,890x = 55,372 × 55,372
  4. Step 4: Simplify right side
    36,890x = 3,066,058,384
  5. Step 5: Solve for x
    x = 3,066,058,384/36,890
  6. Step 6: Final answer
    x = 83,113.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.