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Finding the Third Proportional to 17,311.22 and 35,857.69

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Solution

The third proportional to 17,311.22 and 35,857.69 is: 74,274.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,311.22 : 35,857.69 = 35,857.69 : x
  2. Step 2: Convert to fraction form
    17,311.22/35,857.69 = 35,857.69/x
  3. Step 3: Cross multiply
    17,311.22x = 35,857.69 × 35,857.69
  4. Step 4: Simplify right side
    17,311.22x = 1,285,773,752.85
  5. Step 5: Solve for x
    x = 1,285,773,752.85/17,311.22
  6. Step 6: Final answer
    x = 74,274.02

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.