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Finding the Third Proportional to 23,268 and 49,720

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Solution

The third proportional to 23,268 and 49,720 is: 106,243.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,268 : 49,720 = 49,720 : x
  2. Step 2: Convert to fraction form
    23,268/49,720 = 49,720/x
  3. Step 3: Cross multiply
    23,268x = 49,720 × 49,720
  4. Step 4: Simplify right side
    23,268x = 2,472,078,400
  5. Step 5: Solve for x
    x = 2,472,078,400/23,268
  6. Step 6: Final answer
    x = 106,243.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.