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Finding the Third Proportional to 19,028 and 27,811

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Solution

The third proportional to 19,028 and 27,811 is: 40,648.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,028 : 27,811 = 27,811 : x
  2. Step 2: Convert to fraction form
    19,028/27,811 = 27,811/x
  3. Step 3: Cross multiply
    19,028x = 27,811 × 27,811
  4. Step 4: Simplify right side
    19,028x = 773,451,721
  5. Step 5: Solve for x
    x = 773,451,721/19,028
  6. Step 6: Final answer
    x = 40,648.08

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.