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Finding the Third Proportional to 3,173.06 and 6,961.31

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Solution

The third proportional to 3,173.06 and 6,961.31 is: 15,272.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,173.06 : 6,961.31 = 6,961.31 : x
  2. Step 2: Convert to fraction form
    3,173.06/6,961.31 = 6,961.31/x
  3. Step 3: Cross multiply
    3,173.06x = 6,961.31 × 6,961.31
  4. Step 4: Simplify right side
    3,173.06x = 48,459,871.72
  5. Step 5: Solve for x
    x = 48,459,871.72/3,173.06
  6. Step 6: Final answer
    x = 15,272.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.