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Finding the Third Proportional to 6,982.31 and 15,195.94

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Solution

The third proportional to 6,982.31 and 15,195.94 is: 33,071.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,982.31 : 15,195.94 = 15,195.94 : x
  2. Step 2: Convert to fraction form
    6,982.31/15,195.94 = 15,195.94/x
  3. Step 3: Cross multiply
    6,982.31x = 15,195.94 × 15,195.94
  4. Step 4: Simplify right side
    6,982.31x = 230,916,516.50
  5. Step 5: Solve for x
    x = 230,916,516.50/6,982.31
  6. Step 6: Final answer
    x = 33,071.64

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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.