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Finding the Third Proportional to 23,712 and 50,880

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Solution

The third proportional to 23,712 and 50,880 is: 109,175.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,712 : 50,880 = 50,880 : x
  2. Step 2: Convert to fraction form
    23,712/50,880 = 50,880/x
  3. Step 3: Cross multiply
    23,712x = 50,880 × 50,880
  4. Step 4: Simplify right side
    23,712x = 2,588,774,400
  5. Step 5: Solve for x
    x = 2,588,774,400/23,712
  6. Step 6: Final answer
    x = 109,175.71

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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.