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Finding the Third Proportional to 23,946 and 51,150

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Solution

The third proportional to 23,946 and 51,150 is: 109,259.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,946 : 51,150 = 51,150 : x
  2. Step 2: Convert to fraction form
    23,946/51,150 = 51,150/x
  3. Step 3: Cross multiply
    23,946x = 51,150 × 51,150
  4. Step 4: Simplify right side
    23,946x = 2,616,322,500
  5. Step 5: Solve for x
    x = 2,616,322,500/23,946
  6. Step 6: Final answer
    x = 109,259.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.