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Finding the Third Proportional to 3,176.56 and 6,844.34

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Solution

The third proportional to 3,176.56 and 6,844.34 is: 14,747.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,176.56 : 6,844.34 = 6,844.34 : x
  2. Step 2: Convert to fraction form
    3,176.56/6,844.34 = 6,844.34/x
  3. Step 3: Cross multiply
    3,176.56x = 6,844.34 × 6,844.34
  4. Step 4: Simplify right side
    3,176.56x = 46,845,014.63
  5. Step 5: Solve for x
    x = 46,845,014.63/3,176.56
  6. Step 6: Final answer
    x = 14,747.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.