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Finding the Third Proportional to 22,333 and 48,851

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Solution

The third proportional to 22,333 and 48,851 is: 106,856.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,333 : 48,851 = 48,851 : x
  2. Step 2: Convert to fraction form
    22,333/48,851 = 48,851/x
  3. Step 3: Cross multiply
    22,333x = 48,851 × 48,851
  4. Step 4: Simplify right side
    22,333x = 2,386,420,201
  5. Step 5: Solve for x
    x = 2,386,420,201/22,333
  6. Step 6: Final answer
    x = 106,856.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.