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Finding the Third Proportional to 17,321.34 and 37,314.42

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Solution

The third proportional to 17,321.34 and 37,314.42 is: 80,384.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,321.34 : 37,314.42 = 37,314.42 : x
  2. Step 2: Convert to fraction form
    17,321.34/37,314.42 = 37,314.42/x
  3. Step 3: Cross multiply
    17,321.34x = 37,314.42 × 37,314.42
  4. Step 4: Simplify right side
    17,321.34x = 1,392,366,079.87
  5. Step 5: Solve for x
    x = 1,392,366,079.87/17,321.34
  6. Step 6: Final answer
    x = 80,384.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.