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Finding the Third Proportional to 10,267 and 22,137

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Solution

The third proportional to 10,267 and 22,137 is: 47,730.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,267 : 22,137 = 22,137 : x
  2. Step 2: Convert to fraction form
    10,267/22,137 = 22,137/x
  3. Step 3: Cross multiply
    10,267x = 22,137 × 22,137
  4. Step 4: Simplify right side
    10,267x = 490,046,769
  5. Step 5: Solve for x
    x = 490,046,769/10,267
  6. Step 6: Final answer
    x = 47,730.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.