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Finding the Third Proportional to 5,519.25 and 11,827.75

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Solution

The third proportional to 5,519.25 and 11,827.75 is: 25,346.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,519.25 : 11,827.75 = 11,827.75 : x
  2. Step 2: Convert to fraction form
    5,519.25/11,827.75 = 11,827.75/x
  3. Step 3: Cross multiply
    5,519.25x = 11,827.75 × 11,827.75
  4. Step 4: Simplify right side
    5,519.25x = 139,895,670.06
  5. Step 5: Solve for x
    x = 139,895,670.06/5,519.25
  6. Step 6: Final answer
    x = 25,346.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.