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Finding the Third Proportional to 19,144 and 27,406

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Solution

The third proportional to 19,144 and 27,406 is: 39,233.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,144 : 27,406 = 27,406 : x
  2. Step 2: Convert to fraction form
    19,144/27,406 = 27,406/x
  3. Step 3: Cross multiply
    19,144x = 27,406 × 27,406
  4. Step 4: Simplify right side
    19,144x = 751,088,836
  5. Step 5: Solve for x
    x = 751,088,836/19,144
  6. Step 6: Final answer
    x = 39,233.64

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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.