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Finding the Third Proportional to 22,268.25 and 31,458.38

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Solution

The third proportional to 22,268.25 and 31,458.38 is: 44,441.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,268.25 : 31,458.38 = 31,458.38 : x
  2. Step 2: Convert to fraction form
    22,268.25/31,458.38 = 31,458.38/x
  3. Step 3: Cross multiply
    22,268.25x = 31,458.38 × 31,458.38
  4. Step 4: Simplify right side
    22,268.25x = 989,629,357.64
  5. Step 5: Solve for x
    x = 989,629,357.64/22,268.25
  6. Step 6: Final answer
    x = 44,441.27

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.