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Finding the Third Proportional to 16,983 and 25,455.09

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Solution

The third proportional to 16,983 and 25,455.09 is: 38,153.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,983 : 25,455.09 = 25,455.09 : x
  2. Step 2: Convert to fraction form
    16,983/25,455.09 = 25,455.09/x
  3. Step 3: Cross multiply
    16,983x = 25,455.09 × 25,455.09
  4. Step 4: Simplify right side
    16,983x = 647,961,797.82
  5. Step 5: Solve for x
    x = 647,961,797.82/16,983
  6. Step 6: Final answer
    x = 38,153.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.