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Finding the Third Proportional to 19,412 and 27,336

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Solution

The third proportional to 19,412 and 27,336 is: 38,494.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,412 : 27,336 = 27,336 : x
  2. Step 2: Convert to fraction form
    19,412/27,336 = 27,336/x
  3. Step 3: Cross multiply
    19,412x = 27,336 × 27,336
  4. Step 4: Simplify right side
    19,412x = 747,256,896
  5. Step 5: Solve for x
    x = 747,256,896/19,412
  6. Step 6: Final answer
    x = 38,494.59

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.