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Finding the Third Proportional to 3,599.44 and 8,474.63

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Solution

The third proportional to 3,599.44 and 8,474.63 is: 19,952.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,599.44 : 8,474.63 = 8,474.63 : x
  2. Step 2: Convert to fraction form
    3,599.44/8,474.63 = 8,474.63/x
  3. Step 3: Cross multiply
    3,599.44x = 8,474.63 × 8,474.63
  4. Step 4: Simplify right side
    3,599.44x = 71,819,268.89
  5. Step 5: Solve for x
    x = 71,819,268.89/3,599.44
  6. Step 6: Final answer
    x = 19,952.91

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.