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Finding the Third Proportional to 23,268 and 50,664

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Solution

The third proportional to 23,268 and 50,664 is: 110,316.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,268 : 50,664 = 50,664 : x
  2. Step 2: Convert to fraction form
    23,268/50,664 = 50,664/x
  3. Step 3: Cross multiply
    23,268x = 50,664 × 50,664
  4. Step 4: Simplify right side
    23,268x = 2,566,840,896
  5. Step 5: Solve for x
    x = 2,566,840,896/23,268
  6. Step 6: Final answer
    x = 110,316.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.