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Finding the Third Proportional to 8,073.56 and 12,110.06

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Solution

The third proportional to 8,073.56 and 12,110.06 is: 18,164.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,073.56 : 12,110.06 = 12,110.06 : x
  2. Step 2: Convert to fraction form
    8,073.56/12,110.06 = 12,110.06/x
  3. Step 3: Cross multiply
    8,073.56x = 12,110.06 × 12,110.06
  4. Step 4: Simplify right side
    8,073.56x = 146,653,613.75
  5. Step 5: Solve for x
    x = 146,653,613.75/8,073.56
  6. Step 6: Final answer
    x = 18,164.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.