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Finding the Third Proportional to 4,947.75 and 11,824.31

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Solution

The third proportional to 4,947.75 and 11,824.31 is: 28,258.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,947.75 : 11,824.31 = 11,824.31 : x
  2. Step 2: Convert to fraction form
    4,947.75/11,824.31 = 11,824.31/x
  3. Step 3: Cross multiply
    4,947.75x = 11,824.31 × 11,824.31
  4. Step 4: Simplify right side
    4,947.75x = 139,814,366.10
  5. Step 5: Solve for x
    x = 139,814,366.10/4,947.75
  6. Step 6: Final answer
    x = 28,258.17

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.