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Finding the Third Proportional to 19,674 and 27,651

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Solution

The third proportional to 19,674 and 27,651 is: 38,862.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,674 : 27,651 = 27,651 : x
  2. Step 2: Convert to fraction form
    19,674/27,651 = 27,651/x
  3. Step 3: Cross multiply
    19,674x = 27,651 × 27,651
  4. Step 4: Simplify right side
    19,674x = 764,577,801
  5. Step 5: Solve for x
    x = 764,577,801/19,674
  6. Step 6: Final answer
    x = 38,862.35

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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.