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Finding the Third Proportional to 22,734 and 48,383

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Solution

The third proportional to 22,734 and 48,383 is: 102,969.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,734 : 48,383 = 48,383 : x
  2. Step 2: Convert to fraction form
    22,734/48,383 = 48,383/x
  3. Step 3: Cross multiply
    22,734x = 48,383 × 48,383
  4. Step 4: Simplify right side
    22,734x = 2,340,914,689
  5. Step 5: Solve for x
    x = 2,340,914,689/22,734
  6. Step 6: Final answer
    x = 102,969.77

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.