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Finding the Third Proportional to 2,959.88 and 6,468.19

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Solution

The third proportional to 2,959.88 and 6,468.19 is: 14,134.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,959.88 : 6,468.19 = 6,468.19 : x
  2. Step 2: Convert to fraction form
    2,959.88/6,468.19 = 6,468.19/x
  3. Step 3: Cross multiply
    2,959.88x = 6,468.19 × 6,468.19
  4. Step 4: Simplify right side
    2,959.88x = 41,837,449.54
  5. Step 5: Solve for x
    x = 41,837,449.54/2,959.88
  6. Step 6: Final answer
    x = 14,134.87

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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.