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Finding the Third Proportional to 6,983.30 and 15,195.09

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Solution

The third proportional to 6,983.30 and 15,195.09 is: 33,063.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,983.30 : 15,195.09 = 15,195.09 : x
  2. Step 2: Convert to fraction form
    6,983.30/15,195.09 = 15,195.09/x
  3. Step 3: Cross multiply
    6,983.30x = 15,195.09 × 15,195.09
  4. Step 4: Simplify right side
    6,983.30x = 230,890,874.07
  5. Step 5: Solve for x
    x = 230,890,874.07/6,983.30
  6. Step 6: Final answer
    x = 33,063.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.