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Finding the Third Proportional to 2,447.63 and 3,694.13

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Solution

The third proportional to 2,447.63 and 3,694.13 is: 5,575.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447.63 : 3,694.13 = 3,694.13 : x
  2. Step 2: Convert to fraction form
    2,447.63/3,694.13 = 3,694.13/x
  3. Step 3: Cross multiply
    2,447.63x = 3,694.13 × 3,694.13
  4. Step 4: Simplify right side
    2,447.63x = 13,646,559.52
  5. Step 5: Solve for x
    x = 13,646,559.52/2,447.63
  6. Step 6: Final answer
    x = 5,575.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.