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Finding the Third Proportional to 23,772 and 33,957

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Solution

The third proportional to 23,772 and 33,957 is: 48,505.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,772 : 33,957 = 33,957 : x
  2. Step 2: Convert to fraction form
    23,772/33,957 = 33,957/x
  3. Step 3: Cross multiply
    23,772x = 33,957 × 33,957
  4. Step 4: Simplify right side
    23,772x = 1,153,077,849
  5. Step 5: Solve for x
    x = 1,153,077,849/23,772
  6. Step 6: Final answer
    x = 48,505.71

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.