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Finding the Third Proportional to 16,797 and 25,107

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Solution

The third proportional to 16,797 and 25,107 is: 37,528.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,797 : 25,107 = 25,107 : x
  2. Step 2: Convert to fraction form
    16,797/25,107 = 25,107/x
  3. Step 3: Cross multiply
    16,797x = 25,107 × 25,107
  4. Step 4: Simplify right side
    16,797x = 630,361,449
  5. Step 5: Solve for x
    x = 630,361,449/16,797
  6. Step 6: Final answer
    x = 37,528.22

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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.