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Finding the Third Proportional to 22,999 and 49,627

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Solution

The third proportional to 22,999 and 49,627 is: 107,084.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,999 : 49,627 = 49,627 : x
  2. Step 2: Convert to fraction form
    22,999/49,627 = 49,627/x
  3. Step 3: Cross multiply
    22,999x = 49,627 × 49,627
  4. Step 4: Simplify right side
    22,999x = 2,462,839,129
  5. Step 5: Solve for x
    x = 2,462,839,129/22,999
  6. Step 6: Final answer
    x = 107,084.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.