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Finding the Third Proportional to 38,456 and 84,200

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Solution

The third proportional to 38,456 and 84,200 is: 184,357.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,456 : 84,200 = 84,200 : x
  2. Step 2: Convert to fraction form
    38,456/84,200 = 84,200/x
  3. Step 3: Cross multiply
    38,456x = 84,200 × 84,200
  4. Step 4: Simplify right side
    38,456x = 7,089,640,000
  5. Step 5: Solve for x
    x = 7,089,640,000/38,456
  6. Step 6: Final answer
    x = 184,357.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.