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Finding the Third Proportional to 16,930 and 25,772.50

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Solution

The third proportional to 16,930 and 25,772.50 is: 39,233.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,930 : 25,772.50 = 25,772.50 : x
  2. Step 2: Convert to fraction form
    16,930/25,772.50 = 25,772.50/x
  3. Step 3: Cross multiply
    16,930x = 25,772.50 × 25,772.50
  4. Step 4: Simplify right side
    16,930x = 664,221,756.25
  5. Step 5: Solve for x
    x = 664,221,756.25/16,930
  6. Step 6: Final answer
    x = 39,233.42

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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.