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Finding the Third Proportional to 16,872.75 and 25,169.63

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Solution

The third proportional to 16,872.75 and 25,169.63 is: 37,546.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,872.75 : 25,169.63 = 25,169.63 : x
  2. Step 2: Convert to fraction form
    16,872.75/25,169.63 = 25,169.63/x
  3. Step 3: Cross multiply
    16,872.75x = 25,169.63 × 25,169.63
  4. Step 4: Simplify right side
    16,872.75x = 633,510,022.64
  5. Step 5: Solve for x
    x = 633,510,022.64/16,872.75
  6. Step 6: Final answer
    x = 37,546.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.