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Finding the Third Proportional to 5,408.25 and 7,907.25

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Solution

The third proportional to 5,408.25 and 7,907.25 is: 11,560.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,408.25 : 7,907.25 = 7,907.25 : x
  2. Step 2: Convert to fraction form
    5,408.25/7,907.25 = 7,907.25/x
  3. Step 3: Cross multiply
    5,408.25x = 7,907.25 × 7,907.25
  4. Step 4: Simplify right side
    5,408.25x = 62,524,602.56
  5. Step 5: Solve for x
    x = 62,524,602.56/5,408.25
  6. Step 6: Final answer
    x = 11,560.97

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.