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Finding the Third Proportional to 16,749 and 25,947

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Solution

The third proportional to 16,749 and 25,947 is: 40,196.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,749 : 25,947 = 25,947 : x
  2. Step 2: Convert to fraction form
    16,749/25,947 = 25,947/x
  3. Step 3: Cross multiply
    16,749x = 25,947 × 25,947
  4. Step 4: Simplify right side
    16,749x = 673,246,809
  5. Step 5: Solve for x
    x = 673,246,809/16,749
  6. Step 6: Final answer
    x = 40,196.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.