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Finding the Third Proportional to 2,870.44 and 4,049.37

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Solution

The third proportional to 2,870.44 and 4,049.37 is: 5,712.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,870.44 : 4,049.37 = 4,049.37 : x
  2. Step 2: Convert to fraction form
    2,870.44/4,049.37 = 4,049.37/x
  3. Step 3: Cross multiply
    2,870.44x = 4,049.37 × 4,049.37
  4. Step 4: Simplify right side
    2,870.44x = 16,397,374.62
  5. Step 5: Solve for x
    x = 16,397,374.62/2,870.44
  6. Step 6: Final answer
    x = 5,712.50

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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.