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Finding the Third Proportional to 33,233 and 44,773

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Solution

The third proportional to 33,233 and 44,773 is: 60,320.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,233 : 44,773 = 44,773 : x
  2. Step 2: Convert to fraction form
    33,233/44,773 = 44,773/x
  3. Step 3: Cross multiply
    33,233x = 44,773 × 44,773
  4. Step 4: Simplify right side
    33,233x = 2,004,621,529
  5. Step 5: Solve for x
    x = 2,004,621,529/33,233
  6. Step 6: Final answer
    x = 60,320.21

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.