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Finding the Third Proportional to 26,232 and 56,667

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Solution

The third proportional to 26,232 and 56,667 is: 122,413.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,232 : 56,667 = 56,667 : x
  2. Step 2: Convert to fraction form
    26,232/56,667 = 56,667/x
  3. Step 3: Cross multiply
    26,232x = 56,667 × 56,667
  4. Step 4: Simplify right side
    26,232x = 3,211,148,889
  5. Step 5: Solve for x
    x = 3,211,148,889/26,232
  6. Step 6: Final answer
    x = 122,413.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.