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Finding the Third Proportional to 19,200 and 27,392

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Solution

The third proportional to 19,200 and 27,392 is: 39,079.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,200 : 27,392 = 27,392 : x
  2. Step 2: Convert to fraction form
    19,200/27,392 = 27,392/x
  3. Step 3: Cross multiply
    19,200x = 27,392 × 27,392
  4. Step 4: Simplify right side
    19,200x = 750,321,664
  5. Step 5: Solve for x
    x = 750,321,664/19,200
  6. Step 6: Final answer
    x = 39,079.25

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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.