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Finding the Third Proportional to 16,411 and 35,593

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Solution

The third proportional to 16,411 and 35,593 is: 77,195.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,411 : 35,593 = 35,593 : x
  2. Step 2: Convert to fraction form
    16,411/35,593 = 35,593/x
  3. Step 3: Cross multiply
    16,411x = 35,593 × 35,593
  4. Step 4: Simplify right side
    16,411x = 1,266,861,649
  5. Step 5: Solve for x
    x = 1,266,861,649/16,411
  6. Step 6: Final answer
    x = 77,195.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.