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Finding the Third Proportional to 9,399.38 and 22,268.25

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Solution

The third proportional to 9,399.38 and 22,268.25 is: 52,756.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,399.38 : 22,268.25 = 22,268.25 : x
  2. Step 2: Convert to fraction form
    9,399.38/22,268.25 = 22,268.25/x
  3. Step 3: Cross multiply
    9,399.38x = 22,268.25 × 22,268.25
  4. Step 4: Simplify right side
    9,399.38x = 495,874,958.06
  5. Step 5: Solve for x
    x = 495,874,958.06/9,399.38
  6. Step 6: Final answer
    x = 52,756.16

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.