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Finding the Third Proportional to 17,861 and 34,101

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Solution

The third proportional to 17,861 and 34,101 is: 65,107.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,861 : 34,101 = 34,101 : x
  2. Step 2: Convert to fraction form
    17,861/34,101 = 34,101/x
  3. Step 3: Cross multiply
    17,861x = 34,101 × 34,101
  4. Step 4: Simplify right side
    17,861x = 1,162,878,201
  5. Step 5: Solve for x
    x = 1,162,878,201/17,861
  6. Step 6: Final answer
    x = 65,107.12

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.