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Finding the Third Proportional to 36,529 and 48,778

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Solution

The third proportional to 36,529 and 48,778 is: 65,134.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,529 : 48,778 = 48,778 : x
  2. Step 2: Convert to fraction form
    36,529/48,778 = 48,778/x
  3. Step 3: Cross multiply
    36,529x = 48,778 × 48,778
  4. Step 4: Simplify right side
    36,529x = 2,379,293,284
  5. Step 5: Solve for x
    x = 2,379,293,284/36,529
  6. Step 6: Final answer
    x = 65,134.37

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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.