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Finding the Third Proportional to 22,630 and 49,634

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Solution

The third proportional to 22,630 and 49,634 is: 108,861.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,630 : 49,634 = 49,634 : x
  2. Step 2: Convert to fraction form
    22,630/49,634 = 49,634/x
  3. Step 3: Cross multiply
    22,630x = 49,634 × 49,634
  4. Step 4: Simplify right side
    22,630x = 2,463,533,956
  5. Step 5: Solve for x
    x = 2,463,533,956/22,630
  6. Step 6: Final answer
    x = 108,861.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.