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Finding the Third Proportional to 16,509.94 and 24,843.09

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Solution

The third proportional to 16,509.94 and 24,843.09 is: 37,382.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,509.94 : 24,843.09 = 24,843.09 : x
  2. Step 2: Convert to fraction form
    16,509.94/24,843.09 = 24,843.09/x
  3. Step 3: Cross multiply
    16,509.94x = 24,843.09 × 24,843.09
  4. Step 4: Simplify right side
    16,509.94x = 617,179,307.07
  5. Step 5: Solve for x
    x = 617,179,307.07/16,509.94
  6. Step 6: Final answer
    x = 37,382.29

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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.