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Finding the Third Proportional to 41,669.30 and 66,194.72

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Solution

The third proportional to 41,669.30 and 66,194.72 is: 105,155.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,669.30 : 66,194.72 = 66,194.72 : x
  2. Step 2: Convert to fraction form
    41,669.30/66,194.72 = 66,194.72/x
  3. Step 3: Cross multiply
    41,669.30x = 66,194.72 × 66,194.72
  4. Step 4: Simplify right side
    41,669.30x = 4,381,740,790.39
  5. Step 5: Solve for x
    x = 4,381,740,790.39/41,669.30
  6. Step 6: Final answer
    x = 105,155.14

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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.