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Finding the Third Proportional to 36,616 and 54,798

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Solution

The third proportional to 36,616 and 54,798 is: 82,008.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,616 : 54,798 = 54,798 : x
  2. Step 2: Convert to fraction form
    36,616/54,798 = 54,798/x
  3. Step 3: Cross multiply
    36,616x = 54,798 × 54,798
  4. Step 4: Simplify right side
    36,616x = 3,002,820,804
  5. Step 5: Solve for x
    x = 3,002,820,804/36,616
  6. Step 6: Final answer
    x = 82,008.43

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Why These Related Problems?

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