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Finding the Third Proportional to 23,656.50 and 51,667

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Solution

The third proportional to 23,656.50 and 51,667 is: 112,843.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,656.50 : 51,667 = 51,667 : x
  2. Step 2: Convert to fraction form
    23,656.50/51,667 = 51,667/x
  3. Step 3: Cross multiply
    23,656.50x = 51,667 × 51,667
  4. Step 4: Simplify right side
    23,656.50x = 2,669,478,889
  5. Step 5: Solve for x
    x = 2,669,478,889/23,656.50
  6. Step 6: Final answer
    x = 112,843.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.