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Finding the Third Proportional to 2,422.62 and 3,739.29

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Solution

The third proportional to 2,422.62 and 3,739.29 is: 5,771.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,422.62 : 3,739.29 = 3,739.29 : x
  2. Step 2: Convert to fraction form
    2,422.62/3,739.29 = 3,739.29/x
  3. Step 3: Cross multiply
    2,422.62x = 3,739.29 × 3,739.29
  4. Step 4: Simplify right side
    2,422.62x = 13,982,282.69
  5. Step 5: Solve for x
    x = 13,982,282.69/2,422.62
  6. Step 6: Final answer
    x = 5,771.56

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.