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Finding the Third Proportional to 22,813 and 33,886

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Solution

The third proportional to 22,813 and 33,886 is: 50,333.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,813 : 33,886 = 33,886 : x
  2. Step 2: Convert to fraction form
    22,813/33,886 = 33,886/x
  3. Step 3: Cross multiply
    22,813x = 33,886 × 33,886
  4. Step 4: Simplify right side
    22,813x = 1,148,260,996
  5. Step 5: Solve for x
    x = 1,148,260,996/22,813
  6. Step 6: Final answer
    x = 50,333.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.