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Finding the Third Proportional to 16,398 and 35,186

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Solution

The third proportional to 16,398 and 35,186 is: 75,500.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,398 : 35,186 = 35,186 : x
  2. Step 2: Convert to fraction form
    16,398/35,186 = 35,186/x
  3. Step 3: Cross multiply
    16,398x = 35,186 × 35,186
  4. Step 4: Simplify right side
    16,398x = 1,238,054,596
  5. Step 5: Solve for x
    x = 1,238,054,596/16,398
  6. Step 6: Final answer
    x = 75,500.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.