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Finding the Third Proportional to 47,405.25 and 71,408.25

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Solution

The third proportional to 47,405.25 and 71,408.25 is: 107,564.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,405.25 : 71,408.25 = 71,408.25 : x
  2. Step 2: Convert to fraction form
    47,405.25/71,408.25 = 71,408.25/x
  3. Step 3: Cross multiply
    47,405.25x = 71,408.25 × 71,408.25
  4. Step 4: Simplify right side
    47,405.25x = 5,099,138,168.06
  5. Step 5: Solve for x
    x = 5,099,138,168.06/47,405.25
  6. Step 6: Final answer
    x = 107,564.84

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.