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Finding the Third Proportional to 16,397 and 35,131

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Solution

The third proportional to 16,397 and 35,131 is: 75,269.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,397 : 35,131 = 35,131 : x
  2. Step 2: Convert to fraction form
    16,397/35,131 = 35,131/x
  3. Step 3: Cross multiply
    16,397x = 35,131 × 35,131
  4. Step 4: Simplify right side
    16,397x = 1,234,187,161
  5. Step 5: Solve for x
    x = 1,234,187,161/16,397
  6. Step 6: Final answer
    x = 75,269.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.