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Finding the Third Proportional to 27,288.50 and 40,764.25

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Solution

The third proportional to 27,288.50 and 40,764.25 is: 60,894.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,288.50 : 40,764.25 = 40,764.25 : x
  2. Step 2: Convert to fraction form
    27,288.50/40,764.25 = 40,764.25/x
  3. Step 3: Cross multiply
    27,288.50x = 40,764.25 × 40,764.25
  4. Step 4: Simplify right side
    27,288.50x = 1,661,724,078.06
  5. Step 5: Solve for x
    x = 1,661,724,078.06/27,288.50
  6. Step 6: Final answer
    x = 60,894.67

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.