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Finding the Third Proportional to 5,861.81 and 11,962.69

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Solution

The third proportional to 5,861.81 and 11,962.69 is: 24,413.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,861.81 : 11,962.69 = 11,962.69 : x
  2. Step 2: Convert to fraction form
    5,861.81/11,962.69 = 11,962.69/x
  3. Step 3: Cross multiply
    5,861.81x = 11,962.69 × 11,962.69
  4. Step 4: Simplify right side
    5,861.81x = 143,105,892.22
  5. Step 5: Solve for x
    x = 143,105,892.22/5,861.81
  6. Step 6: Final answer
    x = 24,413.25

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.