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Finding the Third Proportional to 1,268.16 and 2,731.38

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Solution

The third proportional to 1,268.16 and 2,731.38 is: 5,882.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.16 : 2,731.38 = 2,731.38 : x
  2. Step 2: Convert to fraction form
    1,268.16/2,731.38 = 2,731.38/x
  3. Step 3: Cross multiply
    1,268.16x = 2,731.38 × 2,731.38
  4. Step 4: Simplify right side
    1,268.16x = 7,460,420.06
  5. Step 5: Solve for x
    x = 7,460,420.06/1,268.16
  6. Step 6: Final answer
    x = 5,882.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.