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Finding the Third Proportional to 23,285 and 50,261

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Solution

The third proportional to 23,285 and 50,261 is: 108,489.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,285 : 50,261 = 50,261 : x
  2. Step 2: Convert to fraction form
    23,285/50,261 = 50,261/x
  3. Step 3: Cross multiply
    23,285x = 50,261 × 50,261
  4. Step 4: Simplify right side
    23,285x = 2,526,168,121
  5. Step 5: Solve for x
    x = 2,526,168,121/23,285
  6. Step 6: Final answer
    x = 108,489.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.