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Finding the Third Proportional to 41,671.75 and 66,197.75

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Solution

The third proportional to 41,671.75 and 66,197.75 is: 105,158.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,671.75 : 66,197.75 = 66,197.75 : x
  2. Step 2: Convert to fraction form
    41,671.75/66,197.75 = 66,197.75/x
  3. Step 3: Cross multiply
    41,671.75x = 66,197.75 × 66,197.75
  4. Step 4: Simplify right side
    41,671.75x = 4,382,142,105.06
  5. Step 5: Solve for x
    x = 4,382,142,105.06/41,671.75
  6. Step 6: Final answer
    x = 105,158.58

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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.