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Finding the Third Proportional to 2,731.88 and 5,843.63

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Solution

The third proportional to 2,731.88 and 5,843.63 is: 12,499.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731.88 : 5,843.63 = 5,843.63 : x
  2. Step 2: Convert to fraction form
    2,731.88/5,843.63 = 5,843.63/x
  3. Step 3: Cross multiply
    2,731.88x = 5,843.63 × 5,843.63
  4. Step 4: Simplify right side
    2,731.88x = 34,147,953.14
  5. Step 5: Solve for x
    x = 34,147,953.14/2,731.88
  6. Step 6: Final answer
    x = 12,499.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.