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Finding the Third Proportional to 7,612 and 11,943.88

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Solution

The third proportional to 7,612 and 11,943.88 is: 18,740.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,612 : 11,943.88 = 11,943.88 : x
  2. Step 2: Convert to fraction form
    7,612/11,943.88 = 11,943.88/x
  3. Step 3: Cross multiply
    7,612x = 11,943.88 × 11,943.88
  4. Step 4: Simplify right side
    7,612x = 142,656,150.02
  5. Step 5: Solve for x
    x = 142,656,150.02/7,612
  6. Step 6: Final answer
    x = 18,740.96

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.