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Finding the Third Proportional to 21,912 and 33,414

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Solution

The third proportional to 21,912 and 33,414 is: 50,953.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,912 : 33,414 = 33,414 : x
  2. Step 2: Convert to fraction form
    21,912/33,414 = 33,414/x
  3. Step 3: Cross multiply
    21,912x = 33,414 × 33,414
  4. Step 4: Simplify right side
    21,912x = 1,116,495,396
  5. Step 5: Solve for x
    x = 1,116,495,396/21,912
  6. Step 6: Final answer
    x = 50,953.61

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.