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Finding the Third Proportional to 16,947 and 25,863

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Solution

The third proportional to 16,947 and 25,863 is: 39,469.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,947 : 25,863 = 25,863 : x
  2. Step 2: Convert to fraction form
    16,947/25,863 = 25,863/x
  3. Step 3: Cross multiply
    16,947x = 25,863 × 25,863
  4. Step 4: Simplify right side
    16,947x = 668,894,769
  5. Step 5: Solve for x
    x = 668,894,769/16,947
  6. Step 6: Final answer
    x = 39,469.80

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.