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Finding the Third Proportional to 38,586 and 84,558

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Solution

The third proportional to 38,586 and 84,558 is: 185,301.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,586 : 84,558 = 84,558 : x
  2. Step 2: Convert to fraction form
    38,586/84,558 = 84,558/x
  3. Step 3: Cross multiply
    38,586x = 84,558 × 84,558
  4. Step 4: Simplify right side
    38,586x = 7,150,055,364
  5. Step 5: Solve for x
    x = 7,150,055,364/38,586
  6. Step 6: Final answer
    x = 185,301.80

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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.