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Finding the Third Proportional to 23,670 and 50,918

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Solution

The third proportional to 23,670 and 50,918 is: 109,532.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,670 : 50,918 = 50,918 : x
  2. Step 2: Convert to fraction form
    23,670/50,918 = 50,918/x
  3. Step 3: Cross multiply
    23,670x = 50,918 × 50,918
  4. Step 4: Simplify right side
    23,670x = 2,592,642,724
  5. Step 5: Solve for x
    x = 2,592,642,724/23,670
  6. Step 6: Final answer
    x = 109,532.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.