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Finding the Third Proportional to 22,772 and 48,244

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Solution

The third proportional to 22,772 and 48,244 is: 102,208.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,772 : 48,244 = 48,244 : x
  2. Step 2: Convert to fraction form
    22,772/48,244 = 48,244/x
  3. Step 3: Cross multiply
    22,772x = 48,244 × 48,244
  4. Step 4: Simplify right side
    22,772x = 2,327,483,536
  5. Step 5: Solve for x
    x = 2,327,483,536/22,772
  6. Step 6: Final answer
    x = 102,208.13

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.