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Finding the Third Proportional to 3,222.56 and 6,971.34

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Solution

The third proportional to 3,222.56 and 6,971.34 is: 15,081.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,222.56 : 6,971.34 = 6,971.34 : x
  2. Step 2: Convert to fraction form
    3,222.56/6,971.34 = 6,971.34/x
  3. Step 3: Cross multiply
    3,222.56x = 6,971.34 × 6,971.34
  4. Step 4: Simplify right side
    3,222.56x = 48,599,633.68
  5. Step 5: Solve for x
    x = 48,599,633.68/3,222.56
  6. Step 6: Final answer
    x = 15,081.05

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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.