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Finding the Third Proportional to 44,847 and 60,933

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Solution

The third proportional to 44,847 and 60,933 is: 82,788.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,847 : 60,933 = 60,933 : x
  2. Step 2: Convert to fraction form
    44,847/60,933 = 60,933/x
  3. Step 3: Cross multiply
    44,847x = 60,933 × 60,933
  4. Step 4: Simplify right side
    44,847x = 3,712,830,489
  5. Step 5: Solve for x
    x = 3,712,830,489/44,847
  6. Step 6: Final answer
    x = 82,788.83

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.