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Finding the Third Proportional to 2,268.43 and 4,975.08

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Solution

The third proportional to 2,268.43 and 4,975.08 is: 10,911.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,268.43 : 4,975.08 = 4,975.08 : x
  2. Step 2: Convert to fraction form
    2,268.43/4,975.08 = 4,975.08/x
  3. Step 3: Cross multiply
    2,268.43x = 4,975.08 × 4,975.08
  4. Step 4: Simplify right side
    2,268.43x = 24,751,400.53
  5. Step 5: Solve for x
    x = 24,751,400.53/2,268.43
  6. Step 6: Final answer
    x = 10,911.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.