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Finding the Third Proportional to 38,846 and 84,611

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Solution

The third proportional to 38,846 and 84,611 is: 184,292.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,846 : 84,611 = 84,611 : x
  2. Step 2: Convert to fraction form
    38,846/84,611 = 84,611/x
  3. Step 3: Cross multiply
    38,846x = 84,611 × 84,611
  4. Step 4: Simplify right side
    38,846x = 7,159,021,321
  5. Step 5: Solve for x
    x = 7,159,021,321/38,846
  6. Step 6: Final answer
    x = 184,292.37

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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.