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Finding the Third Proportional to 53,408.25 and 76,323.38

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Solution

The third proportional to 53,408.25 and 76,323.38 is: 109,070.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,408.25 : 76,323.38 = 76,323.38 : x
  2. Step 2: Convert to fraction form
    53,408.25/76,323.38 = 76,323.38/x
  3. Step 3: Cross multiply
    53,408.25x = 76,323.38 × 76,323.38
  4. Step 4: Simplify right side
    53,408.25x = 5,825,257,571.39
  5. Step 5: Solve for x
    x = 5,825,257,571.39/53,408.25
  6. Step 6: Final answer
    x = 109,070.37

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.