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Finding the Third Proportional to 17,855 and 27,737.50

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Solution

The third proportional to 17,855 and 27,737.50 is: 43,089.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,855 : 27,737.50 = 27,737.50 : x
  2. Step 2: Convert to fraction form
    17,855/27,737.50 = 27,737.50/x
  3. Step 3: Cross multiply
    17,855x = 27,737.50 × 27,737.50
  4. Step 4: Simplify right side
    17,855x = 769,368,906.25
  5. Step 5: Solve for x
    x = 769,368,906.25/17,855
  6. Step 6: Final answer
    x = 43,089.83

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Why These Related Problems?

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