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Finding the Third Proportional to 36,418 and 56,227

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Solution

The third proportional to 36,418 and 56,227 is: 86,810.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,418 : 56,227 = 56,227 : x
  2. Step 2: Convert to fraction form
    36,418/56,227 = 56,227/x
  3. Step 3: Cross multiply
    36,418x = 56,227 × 56,227
  4. Step 4: Simplify right side
    36,418x = 3,161,475,529
  5. Step 5: Solve for x
    x = 3,161,475,529/36,418
  6. Step 6: Final answer
    x = 86,810.79

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.