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Finding the Third Proportional to 6,836.06 and 10,872.56

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Solution

The third proportional to 6,836.06 and 10,872.56 is: 17,292.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,836.06 : 10,872.56 = 10,872.56 : x
  2. Step 2: Convert to fraction form
    6,836.06/10,872.56 = 10,872.56/x
  3. Step 3: Cross multiply
    6,836.06x = 10,872.56 × 10,872.56
  4. Step 4: Simplify right side
    6,836.06x = 118,212,615.32
  5. Step 5: Solve for x
    x = 118,212,615.32/6,836.06
  6. Step 6: Final answer
    x = 17,292.50

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.