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Finding the Third Proportional to 1,943.44 and 2,740.78

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Solution

The third proportional to 1,943.44 and 2,740.78 is: 3,865.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,943.44 : 2,740.78 = 2,740.78 : x
  2. Step 2: Convert to fraction form
    1,943.44/2,740.78 = 2,740.78/x
  3. Step 3: Cross multiply
    1,943.44x = 2,740.78 × 2,740.78
  4. Step 4: Simplify right side
    1,943.44x = 7,511,881.86
  5. Step 5: Solve for x
    x = 7,511,881.86/1,943.44
  6. Step 6: Final answer
    x = 3,865.26

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.