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Finding the Third Proportional to 16,100 and 34,010

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Solution

The third proportional to 16,100 and 34,010 is: 71,843.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,100 : 34,010 = 34,010 : x
  2. Step 2: Convert to fraction form
    16,100/34,010 = 34,010/x
  3. Step 3: Cross multiply
    16,100x = 34,010 × 34,010
  4. Step 4: Simplify right side
    16,100x = 1,156,680,100
  5. Step 5: Solve for x
    x = 1,156,680,100/16,100
  6. Step 6: Final answer
    x = 71,843.48

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.