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Finding the Third Proportional to 2,447.25 and 3,464.63

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Solution

The third proportional to 2,447.25 and 3,464.63 is: 4,904.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447.25 : 3,464.63 = 3,464.63 : x
  2. Step 2: Convert to fraction form
    2,447.25/3,464.63 = 3,464.63/x
  3. Step 3: Cross multiply
    2,447.25x = 3,464.63 × 3,464.63
  4. Step 4: Simplify right side
    2,447.25x = 12,003,626.39
  5. Step 5: Solve for x
    x = 12,003,626.39/2,447.25
  6. Step 6: Final answer
    x = 4,904.94

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.