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Finding the Third Proportional to 22,767 and 49,476

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Solution

The third proportional to 22,767 and 49,476 is: 107,518.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,767 : 49,476 = 49,476 : x
  2. Step 2: Convert to fraction form
    22,767/49,476 = 49,476/x
  3. Step 3: Cross multiply
    22,767x = 49,476 × 49,476
  4. Step 4: Simplify right side
    22,767x = 2,447,874,576
  5. Step 5: Solve for x
    x = 2,447,874,576/22,767
  6. Step 6: Final answer
    x = 107,518.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.