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Finding the Third Proportional to 12,581.75 and 27,095.50

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Solution

The third proportional to 12,581.75 and 27,095.50 is: 58,351.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,581.75 : 27,095.50 = 27,095.50 : x
  2. Step 2: Convert to fraction form
    12,581.75/27,095.50 = 27,095.50/x
  3. Step 3: Cross multiply
    12,581.75x = 27,095.50 × 27,095.50
  4. Step 4: Simplify right side
    12,581.75x = 734,166,120.25
  5. Step 5: Solve for x
    x = 734,166,120.25/12,581.75
  6. Step 6: Final answer
    x = 58,351.67

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.