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Finding the Third Proportional to 16,781 and 35,289

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Solution

The third proportional to 16,781 and 35,289 is: 74,209.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,781 : 35,289 = 35,289 : x
  2. Step 2: Convert to fraction form
    16,781/35,289 = 35,289/x
  3. Step 3: Cross multiply
    16,781x = 35,289 × 35,289
  4. Step 4: Simplify right side
    16,781x = 1,245,313,521
  5. Step 5: Solve for x
    x = 1,245,313,521/16,781
  6. Step 6: Final answer
    x = 74,209.73

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.