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Finding the Third Proportional to 26,084 and 39,249

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Solution

The third proportional to 26,084 and 39,249 is: 59,058.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,084 : 39,249 = 39,249 : x
  2. Step 2: Convert to fraction form
    26,084/39,249 = 39,249/x
  3. Step 3: Cross multiply
    26,084x = 39,249 × 39,249
  4. Step 4: Simplify right side
    26,084x = 1,540,484,001
  5. Step 5: Solve for x
    x = 1,540,484,001/26,084
  6. Step 6: Final answer
    x = 59,058.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.