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Finding the Third Proportional to 22,945 and 49,562

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Solution

The third proportional to 22,945 and 49,562 is: 107,055.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,945 : 49,562 = 49,562 : x
  2. Step 2: Convert to fraction form
    22,945/49,562 = 49,562/x
  3. Step 3: Cross multiply
    22,945x = 49,562 × 49,562
  4. Step 4: Simplify right side
    22,945x = 2,456,391,844
  5. Step 5: Solve for x
    x = 2,456,391,844/22,945
  6. Step 6: Final answer
    x = 107,055.65

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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.