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Finding the Third Proportional to 17,736 and 27,823

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Solution

The third proportional to 17,736 and 27,823 is: 43,646.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,736 : 27,823 = 27,823 : x
  2. Step 2: Convert to fraction form
    17,736/27,823 = 27,823/x
  3. Step 3: Cross multiply
    17,736x = 27,823 × 27,823
  4. Step 4: Simplify right side
    17,736x = 774,119,329
  5. Step 5: Solve for x
    x = 774,119,329/17,736
  6. Step 6: Final answer
    x = 43,646.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.