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Finding the Third Proportional to 44,633 and 59,234

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Solution

The third proportional to 44,633 and 59,234 is: 78,611.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,633 : 59,234 = 59,234 : x
  2. Step 2: Convert to fraction form
    44,633/59,234 = 59,234/x
  3. Step 3: Cross multiply
    44,633x = 59,234 × 59,234
  4. Step 4: Simplify right side
    44,633x = 3,508,666,756
  5. Step 5: Solve for x
    x = 3,508,666,756/44,633
  6. Step 6: Final answer
    x = 78,611.49

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.