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Finding the Third Proportional to 36,341 and 54,515

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Solution

The third proportional to 36,341 and 54,515 is: 81,777.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,341 : 54,515 = 54,515 : x
  2. Step 2: Convert to fraction form
    36,341/54,515 = 54,515/x
  3. Step 3: Cross multiply
    36,341x = 54,515 × 54,515
  4. Step 4: Simplify right side
    36,341x = 2,971,885,225
  5. Step 5: Solve for x
    x = 2,971,885,225/36,341
  6. Step 6: Final answer
    x = 81,777.75

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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.