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Finding the Third Proportional to 22,917 and 49,287

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Solution

The third proportional to 22,917 and 49,287 is: 106,000.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,917 : 49,287 = 49,287 : x
  2. Step 2: Convert to fraction form
    22,917/49,287 = 49,287/x
  3. Step 3: Cross multiply
    22,917x = 49,287 × 49,287
  4. Step 4: Simplify right side
    22,917x = 2,429,208,369
  5. Step 5: Solve for x
    x = 2,429,208,369/22,917
  6. Step 6: Final answer
    x = 106,000.28

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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.