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Finding the Third Proportional to 6,998.06 and 15,361.31

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Solution

The third proportional to 6,998.06 and 15,361.31 is: 33,719.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,998.06 : 15,361.31 = 15,361.31 : x
  2. Step 2: Convert to fraction form
    6,998.06/15,361.31 = 15,361.31/x
  3. Step 3: Cross multiply
    6,998.06x = 15,361.31 × 15,361.31
  4. Step 4: Simplify right side
    6,998.06x = 235,969,921.72
  5. Step 5: Solve for x
    x = 235,969,921.72/6,998.06
  6. Step 6: Final answer
    x = 33,719.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.