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Finding the Third Proportional to 5,390.25 and 11,241.75

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Solution

The third proportional to 5,390.25 and 11,241.75 is: 23,445.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,390.25 : 11,241.75 = 11,241.75 : x
  2. Step 2: Convert to fraction form
    5,390.25/11,241.75 = 11,241.75/x
  3. Step 3: Cross multiply
    5,390.25x = 11,241.75 × 11,241.75
  4. Step 4: Simplify right side
    5,390.25x = 126,376,943.06
  5. Step 5: Solve for x
    x = 126,376,943.06/5,390.25
  6. Step 6: Final answer
    x = 23,445.47

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.