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Finding the Third Proportional to 22,004 and 47,743

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Solution

The third proportional to 22,004 and 47,743 is: 103,589.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,004 : 47,743 = 47,743 : x
  2. Step 2: Convert to fraction form
    22,004/47,743 = 47,743/x
  3. Step 3: Cross multiply
    22,004x = 47,743 × 47,743
  4. Step 4: Simplify right side
    22,004x = 2,279,394,049
  5. Step 5: Solve for x
    x = 2,279,394,049/22,004
  6. Step 6: Final answer
    x = 103,589.99

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.