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Finding the Third Proportional to 22,826 and 49,298

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Solution

The third proportional to 22,826 and 49,298 is: 106,470.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,826 : 49,298 = 49,298 : x
  2. Step 2: Convert to fraction form
    22,826/49,298 = 49,298/x
  3. Step 3: Cross multiply
    22,826x = 49,298 × 49,298
  4. Step 4: Simplify right side
    22,826x = 2,430,292,804
  5. Step 5: Solve for x
    x = 2,430,292,804/22,826
  6. Step 6: Final answer
    x = 106,470.38

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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.