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Finding the Third Proportional to 15,086 and 19,839

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Solution

The third proportional to 15,086 and 19,839 is: 26,089.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,086 : 19,839 = 19,839 : x
  2. Step 2: Convert to fraction form
    15,086/19,839 = 19,839/x
  3. Step 3: Cross multiply
    15,086x = 19,839 × 19,839
  4. Step 4: Simplify right side
    15,086x = 393,585,921
  5. Step 5: Solve for x
    x = 393,585,921/15,086
  6. Step 6: Final answer
    x = 26,089.48

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.