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Finding the Third Proportional to 4,166.44 and 6,449.63

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Solution

The third proportional to 4,166.44 and 6,449.63 is: 9,983.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,166.44 : 6,449.63 = 6,449.63 : x
  2. Step 2: Convert to fraction form
    4,166.44/6,449.63 = 6,449.63/x
  3. Step 3: Cross multiply
    4,166.44x = 6,449.63 × 6,449.63
  4. Step 4: Simplify right side
    4,166.44x = 41,597,662.64
  5. Step 5: Solve for x
    x = 41,597,662.64/4,166.44
  6. Step 6: Final answer
    x = 9,983.99

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.