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Finding the Third Proportional to 2,138.48 and 3,042.56

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Solution

The third proportional to 2,138.48 and 3,042.56 is: 4,328.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.48 : 3,042.56 = 3,042.56 : x
  2. Step 2: Convert to fraction form
    2,138.48/3,042.56 = 3,042.56/x
  3. Step 3: Cross multiply
    2,138.48x = 3,042.56 × 3,042.56
  4. Step 4: Simplify right side
    2,138.48x = 9,257,186.57
  5. Step 5: Solve for x
    x = 9,257,186.57/2,138.48
  6. Step 6: Final answer
    x = 4,328.85

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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.