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Finding the Third Proportional to 16,652 and 25,780

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Solution

The third proportional to 16,652 and 25,780 is: 39,911.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,652 : 25,780 = 25,780 : x
  2. Step 2: Convert to fraction form
    16,652/25,780 = 25,780/x
  3. Step 3: Cross multiply
    16,652x = 25,780 × 25,780
  4. Step 4: Simplify right side
    16,652x = 664,608,400
  5. Step 5: Solve for x
    x = 664,608,400/16,652
  6. Step 6: Final answer
    x = 39,911.63

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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.