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Finding the Third Proportional to 2,961.56 and 6,838.59

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Solution

The third proportional to 2,961.56 and 6,838.59 is: 15,791.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,961.56 : 6,838.59 = 6,838.59 : x
  2. Step 2: Convert to fraction form
    2,961.56/6,838.59 = 6,838.59/x
  3. Step 3: Cross multiply
    2,961.56x = 6,838.59 × 6,838.59
  4. Step 4: Simplify right side
    2,961.56x = 46,766,364.48
  5. Step 5: Solve for x
    x = 46,766,364.48/2,961.56
  6. Step 6: Final answer
    x = 15,791.11

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.