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Finding the Third Proportional to 16,951 and 25,773.50

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Solution

The third proportional to 16,951 and 25,773.50 is: 39,187.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,951 : 25,773.50 = 25,773.50 : x
  2. Step 2: Convert to fraction form
    16,951/25,773.50 = 25,773.50/x
  3. Step 3: Cross multiply
    16,951x = 25,773.50 × 25,773.50
  4. Step 4: Simplify right side
    16,951x = 664,273,302.25
  5. Step 5: Solve for x
    x = 664,273,302.25/16,951
  6. Step 6: Final answer
    x = 39,187.85

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.