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Finding the Third Proportional to 19,754 and 27,741

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Solution

The third proportional to 19,754 and 27,741 is: 38,957.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,754 : 27,741 = 27,741 : x
  2. Step 2: Convert to fraction form
    19,754/27,741 = 27,741/x
  3. Step 3: Cross multiply
    19,754x = 27,741 × 27,741
  4. Step 4: Simplify right side
    19,754x = 769,563,081
  5. Step 5: Solve for x
    x = 769,563,081/19,754
  6. Step 6: Final answer
    x = 38,957.33

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.