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Finding the Third Proportional to 37,435.75 and 49,835.63

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Solution

The third proportional to 37,435.75 and 49,835.63 is: 66,342.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,435.75 : 49,835.63 = 49,835.63 : x
  2. Step 2: Convert to fraction form
    37,435.75/49,835.63 = 49,835.63/x
  3. Step 3: Cross multiply
    37,435.75x = 49,835.63 × 49,835.63
  4. Step 4: Simplify right side
    37,435.75x = 2,483,589,519.14
  5. Step 5: Solve for x
    x = 2,483,589,519.14/37,435.75
  6. Step 6: Final answer
    x = 66,342.72

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.