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Finding the Third Proportional to 21,412 and 33,236

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Solution

The third proportional to 21,412 and 33,236 is: 51,589.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,412 : 33,236 = 33,236 : x
  2. Step 2: Convert to fraction form
    21,412/33,236 = 33,236/x
  3. Step 3: Cross multiply
    21,412x = 33,236 × 33,236
  4. Step 4: Simplify right side
    21,412x = 1,104,631,696
  5. Step 5: Solve for x
    x = 1,104,631,696/21,412
  6. Step 6: Final answer
    x = 51,589.37

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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.