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Finding the Third Proportional to 10,217 and 16,267

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Solution

The third proportional to 10,217 and 16,267 is: 25,899.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,217 : 16,267 = 16,267 : x
  2. Step 2: Convert to fraction form
    10,217/16,267 = 16,267/x
  3. Step 3: Cross multiply
    10,217x = 16,267 × 16,267
  4. Step 4: Simplify right side
    10,217x = 264,615,289
  5. Step 5: Solve for x
    x = 264,615,289/10,217
  6. Step 6: Final answer
    x = 25,899.51

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.