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Finding the Third Proportional to 22,784 and 49,311

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Solution

The third proportional to 22,784 and 49,311 is: 106,722.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,784 : 49,311 = 49,311 : x
  2. Step 2: Convert to fraction form
    22,784/49,311 = 49,311/x
  3. Step 3: Cross multiply
    22,784x = 49,311 × 49,311
  4. Step 4: Simplify right side
    22,784x = 2,431,574,721
  5. Step 5: Solve for x
    x = 2,431,574,721/22,784
  6. Step 6: Final answer
    x = 106,722.91

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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.