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Finding the Third Proportional to 41,425.38 and 85,823.75

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Solution

The third proportional to 41,425.38 and 85,823.75 is: 177,806.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,425.38 : 85,823.75 = 85,823.75 : x
  2. Step 2: Convert to fraction form
    41,425.38/85,823.75 = 85,823.75/x
  3. Step 3: Cross multiply
    41,425.38x = 85,823.75 × 85,823.75
  4. Step 4: Simplify right side
    41,425.38x = 7,365,716,064.06
  5. Step 5: Solve for x
    x = 7,365,716,064.06/41,425.38
  6. Step 6: Final answer
    x = 177,806.87

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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.