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Finding the Third Proportional to 37,040.63 and 72,204.75

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Solution

The third proportional to 37,040.63 and 72,204.75 is: 140,751.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,040.63 : 72,204.75 = 72,204.75 : x
  2. Step 2: Convert to fraction form
    37,040.63/72,204.75 = 72,204.75/x
  3. Step 3: Cross multiply
    37,040.63x = 72,204.75 × 72,204.75
  4. Step 4: Simplify right side
    37,040.63x = 5,213,525,922.56
  5. Step 5: Solve for x
    x = 5,213,525,922.56/37,040.63
  6. Step 6: Final answer
    x = 140,751.56

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.