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Finding the Third Proportional to 1,339.98 and 2,891.64

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Solution

The third proportional to 1,339.98 and 2,891.64 is: 6,240.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,339.98 : 2,891.64 = 2,891.64 : x
  2. Step 2: Convert to fraction form
    1,339.98/2,891.64 = 2,891.64/x
  3. Step 3: Cross multiply
    1,339.98x = 2,891.64 × 2,891.64
  4. Step 4: Simplify right side
    1,339.98x = 8,361,562.91
  5. Step 5: Solve for x
    x = 8,361,562.91/1,339.98
  6. Step 6: Final answer
    x = 6,240.06

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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.