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Finding the Third Proportional to 2,745.88 and 4,376.13

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Solution

The third proportional to 2,745.88 and 4,376.13 is: 6,974.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,745.88 : 4,376.13 = 4,376.13 : x
  2. Step 2: Convert to fraction form
    2,745.88/4,376.13 = 4,376.13/x
  3. Step 3: Cross multiply
    2,745.88x = 4,376.13 × 4,376.13
  4. Step 4: Simplify right side
    2,745.88x = 19,150,470.02
  5. Step 5: Solve for x
    x = 19,150,470.02/2,745.88
  6. Step 6: Final answer
    x = 6,974.27

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.