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Finding the Third Proportional to 41,299.88 and 65,640.38

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Solution

The third proportional to 41,299.88 and 65,640.38 is: 104,326.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,299.88 : 65,640.38 = 65,640.38 : x
  2. Step 2: Convert to fraction form
    41,299.88/65,640.38 = 65,640.38/x
  3. Step 3: Cross multiply
    41,299.88x = 65,640.38 × 65,640.38
  4. Step 4: Simplify right side
    41,299.88x = 4,308,658,830.14
  5. Step 5: Solve for x
    x = 4,308,658,830.14/41,299.88
  6. Step 6: Final answer
    x = 104,326.20

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.