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Finding the Third Proportional to 16,714 and 25,867

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Solution

The third proportional to 16,714 and 25,867 is: 40,032.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,714 : 25,867 = 25,867 : x
  2. Step 2: Convert to fraction form
    16,714/25,867 = 25,867/x
  3. Step 3: Cross multiply
    16,714x = 25,867 × 25,867
  4. Step 4: Simplify right side
    16,714x = 669,101,689
  5. Step 5: Solve for x
    x = 669,101,689/16,714
  6. Step 6: Final answer
    x = 40,032.41

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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.