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Finding the Third Proportional to 19,926 and 27,077

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Solution

The third proportional to 19,926 and 27,077 is: 36,794.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,926 : 27,077 = 27,077 : x
  2. Step 2: Convert to fraction form
    19,926/27,077 = 27,077/x
  3. Step 3: Cross multiply
    19,926x = 27,077 × 27,077
  4. Step 4: Simplify right side
    19,926x = 733,163,929
  5. Step 5: Solve for x
    x = 733,163,929/19,926
  6. Step 6: Final answer
    x = 36,794.34

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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.