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Finding the Third Proportional to 22,473 and 49,098

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Solution

The third proportional to 22,473 and 49,098 is: 107,267.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,473 : 49,098 = 49,098 : x
  2. Step 2: Convert to fraction form
    22,473/49,098 = 49,098/x
  3. Step 3: Cross multiply
    22,473x = 49,098 × 49,098
  4. Step 4: Simplify right side
    22,473x = 2,410,613,604
  5. Step 5: Solve for x
    x = 2,410,613,604/22,473
  6. Step 6: Final answer
    x = 107,267.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.