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Finding the Third Proportional to 1,867.22 and 3,913.31

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Solution

The third proportional to 1,867.22 and 3,913.31 is: 8,201.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,867.22 : 3,913.31 = 3,913.31 : x
  2. Step 2: Convert to fraction form
    1,867.22/3,913.31 = 3,913.31/x
  3. Step 3: Cross multiply
    1,867.22x = 3,913.31 × 3,913.31
  4. Step 4: Simplify right side
    1,867.22x = 15,314,014.72
  5. Step 5: Solve for x
    x = 15,314,014.72/1,867.22
  6. Step 6: Final answer
    x = 8,201.51

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.