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Finding the Third Proportional to 27,234.98 and 40,021.67

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Solution

The third proportional to 27,234.98 and 40,021.67 is: 58,811.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,234.98 : 40,021.67 = 40,021.67 : x
  2. Step 2: Convert to fraction form
    27,234.98/40,021.67 = 40,021.67/x
  3. Step 3: Cross multiply
    27,234.98x = 40,021.67 × 40,021.67
  4. Step 4: Simplify right side
    27,234.98x = 1,601,734,297.84
  5. Step 5: Solve for x
    x = 1,601,734,297.84/27,234.98
  6. Step 6: Final answer
    x = 58,811.65

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.