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Finding the Third Proportional to 36,986.50 and 69,873.50

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Solution

The third proportional to 36,986.50 and 69,873.50 is: 132,002.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,986.50 : 69,873.50 = 69,873.50 : x
  2. Step 2: Convert to fraction form
    36,986.50/69,873.50 = 69,873.50/x
  3. Step 3: Cross multiply
    36,986.50x = 69,873.50 × 69,873.50
  4. Step 4: Simplify right side
    36,986.50x = 4,882,306,002.25
  5. Step 5: Solve for x
    x = 4,882,306,002.25/36,986.50
  6. Step 6: Final answer
    x = 132,002.38

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These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.