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Finding the Third Proportional to 2,544.94 and 5,600.63

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Solution

The third proportional to 2,544.94 and 5,600.63 is: 12,325.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,544.94 : 5,600.63 = 5,600.63 : x
  2. Step 2: Convert to fraction form
    2,544.94/5,600.63 = 5,600.63/x
  3. Step 3: Cross multiply
    2,544.94x = 5,600.63 × 5,600.63
  4. Step 4: Simplify right side
    2,544.94x = 31,367,000.39
  5. Step 5: Solve for x
    x = 31,367,000.39/2,544.94
  6. Step 6: Final answer
    x = 12,325.25

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.