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Finding the Third Proportional to 19,539 and 47,268

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Solution

The third proportional to 19,539 and 47,268 is: 114,348.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,539 : 47,268 = 47,268 : x
  2. Step 2: Convert to fraction form
    19,539/47,268 = 47,268/x
  3. Step 3: Cross multiply
    19,539x = 47,268 × 47,268
  4. Step 4: Simplify right side
    19,539x = 2,234,263,824
  5. Step 5: Solve for x
    x = 2,234,263,824/19,539
  6. Step 6: Final answer
    x = 114,348.93

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.