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Finding the Third Proportional to 23,268 and 48,504

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Solution

The third proportional to 23,268 and 48,504 is: 101,110.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,268 : 48,504 = 48,504 : x
  2. Step 2: Convert to fraction form
    23,268/48,504 = 48,504/x
  3. Step 3: Cross multiply
    23,268x = 48,504 × 48,504
  4. Step 4: Simplify right side
    23,268x = 2,352,638,016
  5. Step 5: Solve for x
    x = 2,352,638,016/23,268
  6. Step 6: Final answer
    x = 101,110.45

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.