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Finding the Third Proportional to 1,031.91 and 2,268.84

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Solution

The third proportional to 1,031.91 and 2,268.84 is: 4,988.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.91 : 2,268.84 = 2,268.84 : x
  2. Step 2: Convert to fraction form
    1,031.91/2,268.84 = 2,268.84/x
  3. Step 3: Cross multiply
    1,031.91x = 2,268.84 × 2,268.84
  4. Step 4: Simplify right side
    1,031.91x = 5,147,651.96
  5. Step 5: Solve for x
    x = 5,147,651.96/1,031.91
  6. Step 6: Final answer
    x = 4,988.49

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.