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Finding the Third Proportional to 5,268 and 12,195.75

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Solution

The third proportional to 5,268 and 12,195.75 is: 28,233.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,268 : 12,195.75 = 12,195.75 : x
  2. Step 2: Convert to fraction form
    5,268/12,195.75 = 12,195.75/x
  3. Step 3: Cross multiply
    5,268x = 12,195.75 × 12,195.75
  4. Step 4: Simplify right side
    5,268x = 148,736,318.06
  5. Step 5: Solve for x
    x = 148,736,318.06/5,268
  6. Step 6: Final answer
    x = 28,233.93

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.