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Finding the Third Proportional to 16,867 and 25,207

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Solution

The third proportional to 16,867 and 25,207 is: 37,670.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,867 : 25,207 = 25,207 : x
  2. Step 2: Convert to fraction form
    16,867/25,207 = 25,207/x
  3. Step 3: Cross multiply
    16,867x = 25,207 × 25,207
  4. Step 4: Simplify right side
    16,867x = 635,392,849
  5. Step 5: Solve for x
    x = 635,392,849/16,867
  6. Step 6: Final answer
    x = 37,670.77

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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.