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Finding the Third Proportional to 3,218.06 and 6,961.78

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Solution

The third proportional to 3,218.06 and 6,961.78 is: 15,060.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,218.06 : 6,961.78 = 6,961.78 : x
  2. Step 2: Convert to fraction form
    3,218.06/6,961.78 = 6,961.78/x
  3. Step 3: Cross multiply
    3,218.06x = 6,961.78 × 6,961.78
  4. Step 4: Simplify right side
    3,218.06x = 48,466,398.17
  5. Step 5: Solve for x
    x = 48,466,398.17/3,218.06
  6. Step 6: Final answer
    x = 15,060.74

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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.