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Finding the Third Proportional to 2,870.44 and 3,293.31

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Solution

The third proportional to 2,870.44 and 3,293.31 is: 3,778.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,870.44 : 3,293.31 = 3,293.31 : x
  2. Step 2: Convert to fraction form
    2,870.44/3,293.31 = 3,293.31/x
  3. Step 3: Cross multiply
    2,870.44x = 3,293.31 × 3,293.31
  4. Step 4: Simplify right side
    2,870.44x = 10,845,920.09
  5. Step 5: Solve for x
    x = 10,845,920.09/2,870.44
  6. Step 6: Final answer
    x = 3,778.49

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These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.