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Finding the Third Proportional to 23,886 and 51,293

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Solution

The third proportional to 23,886 and 51,293 is: 110,147.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,886 : 51,293 = 51,293 : x
  2. Step 2: Convert to fraction form
    23,886/51,293 = 51,293/x
  3. Step 3: Cross multiply
    23,886x = 51,293 × 51,293
  4. Step 4: Simplify right side
    23,886x = 2,630,971,849
  5. Step 5: Solve for x
    x = 2,630,971,849/23,886
  6. Step 6: Final answer
    x = 110,147.03

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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.