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Finding the Third Proportional to 19,017 and 39,249

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Solution

The third proportional to 19,017 and 39,249 is: 81,005.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,017 : 39,249 = 39,249 : x
  2. Step 2: Convert to fraction form
    19,017/39,249 = 39,249/x
  3. Step 3: Cross multiply
    19,017x = 39,249 × 39,249
  4. Step 4: Simplify right side
    19,017x = 1,540,484,001
  5. Step 5: Solve for x
    x = 1,540,484,001/19,017
  6. Step 6: Final answer
    x = 81,005.63

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.