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Finding the Third Proportional to 1,867.31 and 4,063.88

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Solution

The third proportional to 1,867.31 and 4,063.88 is: 8,844.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,867.31 : 4,063.88 = 4,063.88 : x
  2. Step 2: Convert to fraction form
    1,867.31/4,063.88 = 4,063.88/x
  3. Step 3: Cross multiply
    1,867.31x = 4,063.88 × 4,063.88
  4. Step 4: Simplify right side
    1,867.31x = 16,515,080.02
  5. Step 5: Solve for x
    x = 16,515,080.02/1,867.31
  6. Step 6: Final answer
    x = 8,844.30

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.