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Finding the Third Proportional to 16,839 and 31,747.50

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Solution

The third proportional to 16,839 and 31,747.50 is: 59,855.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,839 : 31,747.50 = 31,747.50 : x
  2. Step 2: Convert to fraction form
    16,839/31,747.50 = 31,747.50/x
  3. Step 3: Cross multiply
    16,839x = 31,747.50 × 31,747.50
  4. Step 4: Simplify right side
    16,839x = 1,007,903,756.25
  5. Step 5: Solve for x
    x = 1,007,903,756.25/16,839
  6. Step 6: Final answer
    x = 59,855.32

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These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.