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Finding the Third Proportional to 38,805.94 and 85,232.06

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Solution

The third proportional to 38,805.94 and 85,232.06 is: 187,200.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,805.94 : 85,232.06 = 85,232.06 : x
  2. Step 2: Convert to fraction form
    38,805.94/85,232.06 = 85,232.06/x
  3. Step 3: Cross multiply
    38,805.94x = 85,232.06 × 85,232.06
  4. Step 4: Simplify right side
    38,805.94x = 7,264,504,478.00
  5. Step 5: Solve for x
    x = 7,264,504,478.00/38,805.94
  6. Step 6: Final answer
    x = 187,200.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.