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Finding the Third Proportional to 38,586.38 and 92,945.25

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Solution

The third proportional to 38,586.38 and 92,945.25 is: 223,882.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,586.38 : 92,945.25 = 92,945.25 : x
  2. Step 2: Convert to fraction form
    38,586.38/92,945.25 = 92,945.25/x
  3. Step 3: Cross multiply
    38,586.38x = 92,945.25 × 92,945.25
  4. Step 4: Simplify right side
    38,586.38x = 8,638,819,497.56
  5. Step 5: Solve for x
    x = 8,638,819,497.56/38,586.38
  6. Step 6: Final answer
    x = 223,882.64

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.