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Finding the Third Proportional to 11,581.69 and 24,143.06

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Solution

The third proportional to 11,581.69 and 24,143.06 is: 50,328.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,581.69 : 24,143.06 = 24,143.06 : x
  2. Step 2: Convert to fraction form
    11,581.69/24,143.06 = 24,143.06/x
  3. Step 3: Cross multiply
    11,581.69x = 24,143.06 × 24,143.06
  4. Step 4: Simplify right side
    11,581.69x = 582,887,466.88
  5. Step 5: Solve for x
    x = 582,887,466.88/11,581.69
  6. Step 6: Final answer
    x = 50,328.37

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.