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Finding the Third Proportional to 44,990 and 69,843

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Solution

The third proportional to 44,990 and 69,843 is: 108,425.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,990 : 69,843 = 69,843 : x
  2. Step 2: Convert to fraction form
    44,990/69,843 = 69,843/x
  3. Step 3: Cross multiply
    44,990x = 69,843 × 69,843
  4. Step 4: Simplify right side
    44,990x = 4,878,044,649
  5. Step 5: Solve for x
    x = 4,878,044,649/44,990
  6. Step 6: Final answer
    x = 108,425.09

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.