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Finding the Third Proportional to 2,683.13 and 5,900.63

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Solution

The third proportional to 2,683.13 and 5,900.63 is: 12,976.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.13 : 5,900.63 = 5,900.63 : x
  2. Step 2: Convert to fraction form
    2,683.13/5,900.63 = 5,900.63/x
  3. Step 3: Cross multiply
    2,683.13x = 5,900.63 × 5,900.63
  4. Step 4: Simplify right side
    2,683.13x = 34,817,375.39
  5. Step 5: Solve for x
    x = 34,817,375.39/2,683.13
  6. Step 6: Final answer
    x = 12,976.43

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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.