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Finding the Third Proportional to 27,757.69 and 41,041.69

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Solution

The third proportional to 27,757.69 and 41,041.69 is: 60,683.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,757.69 : 41,041.69 = 41,041.69 : x
  2. Step 2: Convert to fraction form
    27,757.69/41,041.69 = 41,041.69/x
  3. Step 3: Cross multiply
    27,757.69x = 41,041.69 × 41,041.69
  4. Step 4: Simplify right side
    27,757.69x = 1,684,420,112.85
  5. Step 5: Solve for x
    x = 1,684,420,112.85/27,757.69
  6. Step 6: Final answer
    x = 60,683.01

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.