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Finding the Third Proportional to 19,826 and 27,004

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Solution

The third proportional to 19,826 and 27,004 is: 36,780.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,826 : 27,004 = 27,004 : x
  2. Step 2: Convert to fraction form
    19,826/27,004 = 27,004/x
  3. Step 3: Cross multiply
    19,826x = 27,004 × 27,004
  4. Step 4: Simplify right side
    19,826x = 729,216,016
  5. Step 5: Solve for x
    x = 729,216,016/19,826
  6. Step 6: Final answer
    x = 36,780.79

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.