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Finding the Third Proportional to 2,078.44 and 3,040.13

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Solution

The third proportional to 2,078.44 and 3,040.13 is: 4,446.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.44 : 3,040.13 = 3,040.13 : x
  2. Step 2: Convert to fraction form
    2,078.44/3,040.13 = 3,040.13/x
  3. Step 3: Cross multiply
    2,078.44x = 3,040.13 × 3,040.13
  4. Step 4: Simplify right side
    2,078.44x = 9,242,360.02
  5. Step 5: Solve for x
    x = 9,242,360.02/2,078.44
  6. Step 6: Final answer
    x = 4,446.78

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.