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Finding the Third Proportional to 33,978 and 44,403

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Solution

The third proportional to 33,978 and 44,403 is: 58,026.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,978 : 44,403 = 44,403 : x
  2. Step 2: Convert to fraction form
    33,978/44,403 = 44,403/x
  3. Step 3: Cross multiply
    33,978x = 44,403 × 44,403
  4. Step 4: Simplify right side
    33,978x = 1,971,626,409
  5. Step 5: Solve for x
    x = 1,971,626,409/33,978
  6. Step 6: Final answer
    x = 58,026.56

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.