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Finding the Third Proportional to 2,475.56 and 3,399.47

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Solution

The third proportional to 2,475.56 and 3,399.47 is: 4,668.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,475.56 : 3,399.47 = 3,399.47 : x
  2. Step 2: Convert to fraction form
    2,475.56/3,399.47 = 3,399.47/x
  3. Step 3: Cross multiply
    2,475.56x = 3,399.47 × 3,399.47
  4. Step 4: Simplify right side
    2,475.56x = 11,556,387.78
  5. Step 5: Solve for x
    x = 11,556,387.78/2,475.56
  6. Step 6: Final answer
    x = 4,668.19

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.