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Finding the Third Proportional to 27,738 and 44,118

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Solution

The third proportional to 27,738 and 44,118 is: 70,170.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,738 : 44,118 = 44,118 : x
  2. Step 2: Convert to fraction form
    27,738/44,118 = 44,118/x
  3. Step 3: Cross multiply
    27,738x = 44,118 × 44,118
  4. Step 4: Simplify right side
    27,738x = 1,946,397,924
  5. Step 5: Solve for x
    x = 1,946,397,924/27,738
  6. Step 6: Final answer
    x = 70,170.81

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.