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Finding the Third Proportional to 10,751.91 and 16,409.67

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Solution

The third proportional to 10,751.91 and 16,409.67 is: 25,044.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,751.91 : 16,409.67 = 16,409.67 : x
  2. Step 2: Convert to fraction form
    10,751.91/16,409.67 = 16,409.67/x
  3. Step 3: Cross multiply
    10,751.91x = 16,409.67 × 16,409.67
  4. Step 4: Simplify right side
    10,751.91x = 269,277,331.05
  5. Step 5: Solve for x
    x = 269,277,331.05/10,751.91
  6. Step 6: Final answer
    x = 25,044.61

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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.