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Finding the Third Proportional to 22,957 and 49,415

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Solution

The third proportional to 22,957 and 49,415 is: 106,365.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,957 : 49,415 = 49,415 : x
  2. Step 2: Convert to fraction form
    22,957/49,415 = 49,415/x
  3. Step 3: Cross multiply
    22,957x = 49,415 × 49,415
  4. Step 4: Simplify right side
    22,957x = 2,441,842,225
  5. Step 5: Solve for x
    x = 2,441,842,225/22,957
  6. Step 6: Final answer
    x = 106,365.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.