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Finding the Third Proportional to 36,907.50 and 64,032.75

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Solution

The third proportional to 36,907.50 and 64,032.75 is: 111,093.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,907.50 : 64,032.75 = 64,032.75 : x
  2. Step 2: Convert to fraction form
    36,907.50/64,032.75 = 64,032.75/x
  3. Step 3: Cross multiply
    36,907.50x = 64,032.75 × 64,032.75
  4. Step 4: Simplify right side
    36,907.50x = 4,100,193,072.56
  5. Step 5: Solve for x
    x = 4,100,193,072.56/36,907.50
  6. Step 6: Final answer
    x = 111,093.76

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These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.