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Finding the Third Proportional to 10,322 and 22,699

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Solution

The third proportional to 10,322 and 22,699 is: 49,917.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,322 : 22,699 = 22,699 : x
  2. Step 2: Convert to fraction form
    10,322/22,699 = 22,699/x
  3. Step 3: Cross multiply
    10,322x = 22,699 × 22,699
  4. Step 4: Simplify right side
    10,322x = 515,244,601
  5. Step 5: Solve for x
    x = 515,244,601/10,322
  6. Step 6: Final answer
    x = 49,917.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.