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Finding the Third Proportional to 36,965 and 54,475

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Solution

The third proportional to 36,965 and 54,475 is: 80,279.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,965 : 54,475 = 54,475 : x
  2. Step 2: Convert to fraction form
    36,965/54,475 = 54,475/x
  3. Step 3: Cross multiply
    36,965x = 54,475 × 54,475
  4. Step 4: Simplify right side
    36,965x = 2,967,525,625
  5. Step 5: Solve for x
    x = 2,967,525,625/36,965
  6. Step 6: Final answer
    x = 80,279.34

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.