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Finding the Third Proportional to 21,414 and 33,239

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Solution

The third proportional to 21,414 and 33,239 is: 51,593.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,414 : 33,239 = 33,239 : x
  2. Step 2: Convert to fraction form
    21,414/33,239 = 33,239/x
  3. Step 3: Cross multiply
    21,414x = 33,239 × 33,239
  4. Step 4: Simplify right side
    21,414x = 1,104,831,121
  5. Step 5: Solve for x
    x = 1,104,831,121/21,414
  6. Step 6: Final answer
    x = 51,593.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.