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Finding the Third Proportional to 1,268.79 and 2,937.09

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Solution

The third proportional to 1,268.79 and 2,937.09 is: 6,799.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.79 : 2,937.09 = 2,937.09 : x
  2. Step 2: Convert to fraction form
    1,268.79/2,937.09 = 2,937.09/x
  3. Step 3: Cross multiply
    1,268.79x = 2,937.09 × 2,937.09
  4. Step 4: Simplify right side
    1,268.79x = 8,626,519.70
  5. Step 5: Solve for x
    x = 8,626,519.70/1,268.79
  6. Step 6: Final answer
    x = 6,799.02

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.