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Finding the Third Proportional to 23,741 and 33,927

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Solution

The third proportional to 23,741 and 33,927 is: 48,483.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,741 : 33,927 = 33,927 : x
  2. Step 2: Convert to fraction form
    23,741/33,927 = 33,927/x
  3. Step 3: Cross multiply
    23,741x = 33,927 × 33,927
  4. Step 4: Simplify right side
    23,741x = 1,151,041,329
  5. Step 5: Solve for x
    x = 1,151,041,329/23,741
  6. Step 6: Final answer
    x = 48,483.27

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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.