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Finding the Third Proportional to 38,701.97 and 80,058.80

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Solution

The third proportional to 38,701.97 and 80,058.80 is: 165,609.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,701.97 : 80,058.80 = 80,058.80 : x
  2. Step 2: Convert to fraction form
    38,701.97/80,058.80 = 80,058.80/x
  3. Step 3: Cross multiply
    38,701.97x = 80,058.80 × 80,058.80
  4. Step 4: Simplify right side
    38,701.97x = 6,409,410,957.07
  5. Step 5: Solve for x
    x = 6,409,410,957.07/38,701.97
  6. Step 6: Final answer
    x = 165,609.43

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.