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Finding the Third Proportional to 30,869 and 66,125

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Solution

The third proportional to 30,869 and 66,125 is: 141,647.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,869 : 66,125 = 66,125 : x
  2. Step 2: Convert to fraction form
    30,869/66,125 = 66,125/x
  3. Step 3: Cross multiply
    30,869x = 66,125 × 66,125
  4. Step 4: Simplify right side
    30,869x = 4,372,515,625
  5. Step 5: Solve for x
    x = 4,372,515,625/30,869
  6. Step 6: Final answer
    x = 141,647.47

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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.