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Finding the Third Proportional to 2,083.22 and 3,167.86

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Solution

The third proportional to 2,083.22 and 3,167.86 is: 4,817.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.22 : 3,167.86 = 3,167.86 : x
  2. Step 2: Convert to fraction form
    2,083.22/3,167.86 = 3,167.86/x
  3. Step 3: Cross multiply
    2,083.22x = 3,167.86 × 3,167.86
  4. Step 4: Simplify right side
    2,083.22x = 10,035,333.02
  5. Step 5: Solve for x
    x = 10,035,333.02/2,083.22
  6. Step 6: Final answer
    x = 4,817.22

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.