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Finding the Third Proportional to 16,725 and 25,837

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Solution

The third proportional to 16,725 and 25,837 is: 39,913.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,725 : 25,837 = 25,837 : x
  2. Step 2: Convert to fraction form
    16,725/25,837 = 25,837/x
  3. Step 3: Cross multiply
    16,725x = 25,837 × 25,837
  4. Step 4: Simplify right side
    16,725x = 667,550,569
  5. Step 5: Solve for x
    x = 667,550,569/16,725
  6. Step 6: Final answer
    x = 39,913.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.