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Finding the Third Proportional to 2,743.38 and 4,138.94

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Solution

The third proportional to 2,743.38 and 4,138.94 is: 6,244.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,743.38 : 4,138.94 = 4,138.94 : x
  2. Step 2: Convert to fraction form
    2,743.38/4,138.94 = 4,138.94/x
  3. Step 3: Cross multiply
    2,743.38x = 4,138.94 × 4,138.94
  4. Step 4: Simplify right side
    2,743.38x = 17,130,803.63
  5. Step 5: Solve for x
    x = 17,130,803.63/2,743.38
  6. Step 6: Final answer
    x = 6,244.43

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.