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Finding the Third Proportional to 36,735.75 and 51,731.94

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Solution

The third proportional to 36,735.75 and 51,731.94 is: 72,849.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,735.75 : 51,731.94 = 51,731.94 : x
  2. Step 2: Convert to fraction form
    36,735.75/51,731.94 = 51,731.94/x
  3. Step 3: Cross multiply
    36,735.75x = 51,731.94 × 51,731.94
  4. Step 4: Simplify right side
    36,735.75x = 2,676,193,357.50
  5. Step 5: Solve for x
    x = 2,676,193,357.50/36,735.75
  6. Step 6: Final answer
    x = 72,849.84

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.