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Finding the Third Proportional to 3,204.56 and 6,927.19

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Solution

The third proportional to 3,204.56 and 6,927.19 is: 14,974.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204.56 : 6,927.19 = 6,927.19 : x
  2. Step 2: Convert to fraction form
    3,204.56/6,927.19 = 6,927.19/x
  3. Step 3: Cross multiply
    3,204.56x = 6,927.19 × 6,927.19
  4. Step 4: Simplify right side
    3,204.56x = 47,985,926.66
  5. Step 5: Solve for x
    x = 47,985,926.66/3,204.56
  6. Step 6: Final answer
    x = 14,974.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.