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Finding the Third Proportional to 22,756 and 33,957

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Solution

The third proportional to 22,756 and 33,957 is: 50,671.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,756 : 33,957 = 33,957 : x
  2. Step 2: Convert to fraction form
    22,756/33,957 = 33,957/x
  3. Step 3: Cross multiply
    22,756x = 33,957 × 33,957
  4. Step 4: Simplify right side
    22,756x = 1,153,077,849
  5. Step 5: Solve for x
    x = 1,153,077,849/22,756
  6. Step 6: Final answer
    x = 50,671.38

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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.