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Finding the Third Proportional to 7,962.05 and 12,190.82

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Solution

The third proportional to 7,962.05 and 12,190.82 is: 18,665.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,962.05 : 12,190.82 = 12,190.82 : x
  2. Step 2: Convert to fraction form
    7,962.05/12,190.82 = 12,190.82/x
  3. Step 3: Cross multiply
    7,962.05x = 12,190.82 × 12,190.82
  4. Step 4: Simplify right side
    7,962.05x = 148,616,004.65
  5. Step 5: Solve for x
    x = 148,616,004.65/7,962.05
  6. Step 6: Final answer
    x = 18,665.55

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.