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Finding the Third Proportional to 22,771 and 49,430

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Solution

The third proportional to 22,771 and 49,430 is: 107,299.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,771 : 49,430 = 49,430 : x
  2. Step 2: Convert to fraction form
    22,771/49,430 = 49,430/x
  3. Step 3: Cross multiply
    22,771x = 49,430 × 49,430
  4. Step 4: Simplify right side
    22,771x = 2,443,324,900
  5. Step 5: Solve for x
    x = 2,443,324,900/22,771
  6. Step 6: Final answer
    x = 107,299.85

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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.