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Finding the Third Proportional to 44,883 and 94,626

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Solution

The third proportional to 44,883 and 94,626 is: 199,498.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,883 : 94,626 = 94,626 : x
  2. Step 2: Convert to fraction form
    44,883/94,626 = 94,626/x
  3. Step 3: Cross multiply
    44,883x = 94,626 × 94,626
  4. Step 4: Simplify right side
    44,883x = 8,954,079,876
  5. Step 5: Solve for x
    x = 8,954,079,876/44,883
  6. Step 6: Final answer
    x = 199,498.25

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.