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Finding the Third Proportional to 34,225.88 and 73,544.63

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Solution

The third proportional to 34,225.88 and 73,544.63 is: 158,032.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,225.88 : 73,544.63 = 73,544.63 : x
  2. Step 2: Convert to fraction form
    34,225.88/73,544.63 = 73,544.63/x
  3. Step 3: Cross multiply
    34,225.88x = 73,544.63 × 73,544.63
  4. Step 4: Simplify right side
    34,225.88x = 5,408,811,866.39
  5. Step 5: Solve for x
    x = 5,408,811,866.39/34,225.88
  6. Step 6: Final answer
    x = 158,032.83

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.