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Finding the Third Proportional to 8,679.75 and 17,974.88

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Solution

The third proportional to 8,679.75 and 17,974.88 is: 37,224.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,679.75 : 17,974.88 = 17,974.88 : x
  2. Step 2: Convert to fraction form
    8,679.75/17,974.88 = 17,974.88/x
  3. Step 3: Cross multiply
    8,679.75x = 17,974.88 × 17,974.88
  4. Step 4: Simplify right side
    8,679.75x = 323,096,131.27
  5. Step 5: Solve for x
    x = 323,096,131.27/8,679.75
  6. Step 6: Final answer
    x = 37,224.13

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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.