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Finding the Third Proportional to 22,800 and 49,244

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Solution

The third proportional to 22,800 and 49,244 is: 106,358.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,800 : 49,244 = 49,244 : x
  2. Step 2: Convert to fraction form
    22,800/49,244 = 49,244/x
  3. Step 3: Cross multiply
    22,800x = 49,244 × 49,244
  4. Step 4: Simplify right side
    22,800x = 2,424,971,536
  5. Step 5: Solve for x
    x = 2,424,971,536/22,800
  6. Step 6: Final answer
    x = 106,358.40

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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.