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Finding the Third Proportional to 1,818.70 and 2,743.24

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Solution

The third proportional to 1,818.70 and 2,743.24 is: 4,137.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,818.70 : 2,743.24 = 2,743.24 : x
  2. Step 2: Convert to fraction form
    1,818.70/2,743.24 = 2,743.24/x
  3. Step 3: Cross multiply
    1,818.70x = 2,743.24 × 2,743.24
  4. Step 4: Simplify right side
    1,818.70x = 7,525,377.70
  5. Step 5: Solve for x
    x = 7,525,377.70/1,818.70
  6. Step 6: Final answer
    x = 4,137.77

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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.