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Finding the Third Proportional to 19,732 and 27,754

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Solution

The third proportional to 19,732 and 27,754 is: 39,037.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,732 : 27,754 = 27,754 : x
  2. Step 2: Convert to fraction form
    19,732/27,754 = 27,754/x
  3. Step 3: Cross multiply
    19,732x = 27,754 × 27,754
  4. Step 4: Simplify right side
    19,732x = 770,284,516
  5. Step 5: Solve for x
    x = 770,284,516/19,732
  6. Step 6: Final answer
    x = 39,037.33

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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.