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Finding the Third Proportional to 19,206 and 25,811

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Solution

The third proportional to 19,206 and 25,811 is: 34,687.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,206 : 25,811 = 25,811 : x
  2. Step 2: Convert to fraction form
    19,206/25,811 = 25,811/x
  3. Step 3: Cross multiply
    19,206x = 25,811 × 25,811
  4. Step 4: Simplify right side
    19,206x = 666,207,721
  5. Step 5: Solve for x
    x = 666,207,721/19,206
  6. Step 6: Final answer
    x = 34,687.48

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.