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Finding the Third Proportional to 16,805 and 36,679

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Solution

The third proportional to 16,805 and 36,679 is: 80,056.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,805 : 36,679 = 36,679 : x
  2. Step 2: Convert to fraction form
    16,805/36,679 = 36,679/x
  3. Step 3: Cross multiply
    16,805x = 36,679 × 36,679
  4. Step 4: Simplify right side
    16,805x = 1,345,349,041
  5. Step 5: Solve for x
    x = 1,345,349,041/16,805
  6. Step 6: Final answer
    x = 80,056.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.