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Finding the Third Proportional to 10,399 and 22,462

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Solution

The third proportional to 10,399 and 22,462 is: 48,518.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,399 : 22,462 = 22,462 : x
  2. Step 2: Convert to fraction form
    10,399/22,462 = 22,462/x
  3. Step 3: Cross multiply
    10,399x = 22,462 × 22,462
  4. Step 4: Simplify right side
    10,399x = 504,541,444
  5. Step 5: Solve for x
    x = 504,541,444/10,399
  6. Step 6: Final answer
    x = 48,518.27

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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.