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Finding the Third Proportional to 32,751 and 49,075

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Solution

The third proportional to 32,751 and 49,075 is: 73,535.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,751 : 49,075 = 49,075 : x
  2. Step 2: Convert to fraction form
    32,751/49,075 = 49,075/x
  3. Step 3: Cross multiply
    32,751x = 49,075 × 49,075
  4. Step 4: Simplify right side
    32,751x = 2,408,355,625
  5. Step 5: Solve for x
    x = 2,408,355,625/32,751
  6. Step 6: Final answer
    x = 73,535.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.