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Finding the Third Proportional to 23,919 and 52,668

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Solution

The third proportional to 23,919 and 52,668 is: 115,971.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,919 : 52,668 = 52,668 : x
  2. Step 2: Convert to fraction form
    23,919/52,668 = 52,668/x
  3. Step 3: Cross multiply
    23,919x = 52,668 × 52,668
  4. Step 4: Simplify right side
    23,919x = 2,773,918,224
  5. Step 5: Solve for x
    x = 2,773,918,224/23,919
  6. Step 6: Final answer
    x = 115,971.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.