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Finding the Third Proportional to 36,126 and 54,885

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Solution

The third proportional to 36,126 and 54,885 is: 83,384.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,126 : 54,885 = 54,885 : x
  2. Step 2: Convert to fraction form
    36,126/54,885 = 54,885/x
  3. Step 3: Cross multiply
    36,126x = 54,885 × 54,885
  4. Step 4: Simplify right side
    36,126x = 3,012,363,225
  5. Step 5: Solve for x
    x = 3,012,363,225/36,126
  6. Step 6: Final answer
    x = 83,384.91

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.