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Finding the Third Proportional to 4,838 and 11,201.75

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Solution

The third proportional to 4,838 and 11,201.75 is: 25,936.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,838 : 11,201.75 = 11,201.75 : x
  2. Step 2: Convert to fraction form
    4,838/11,201.75 = 11,201.75/x
  3. Step 3: Cross multiply
    4,838x = 11,201.75 × 11,201.75
  4. Step 4: Simplify right side
    4,838x = 125,479,203.06
  5. Step 5: Solve for x
    x = 125,479,203.06/4,838
  6. Step 6: Final answer
    x = 25,936.17

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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.