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Finding the Third Proportional to 36,053 and 48,227

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Solution

The third proportional to 36,053 and 48,227 is: 64,511.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,053 : 48,227 = 48,227 : x
  2. Step 2: Convert to fraction form
    36,053/48,227 = 48,227/x
  3. Step 3: Cross multiply
    36,053x = 48,227 × 48,227
  4. Step 4: Simplify right side
    36,053x = 2,325,843,529
  5. Step 5: Solve for x
    x = 2,325,843,529/36,053
  6. Step 6: Final answer
    x = 64,511.79

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.