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Finding the Third Proportional to 5,418.94 and 11,823.14

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Solution

The third proportional to 5,418.94 and 11,823.14 is: 25,795.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,418.94 : 11,823.14 = 11,823.14 : x
  2. Step 2: Convert to fraction form
    5,418.94/11,823.14 = 11,823.14/x
  3. Step 3: Cross multiply
    5,418.94x = 11,823.14 × 11,823.14
  4. Step 4: Simplify right side
    5,418.94x = 139,786,522.18
  5. Step 5: Solve for x
    x = 139,786,522.18/5,418.94
  6. Step 6: Final answer
    x = 25,795.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.