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Finding the Third Proportional to 5,287.78 and 11,495.67

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Solution

The third proportional to 5,287.78 and 11,495.67 is: 24,991.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,287.78 : 11,495.67 = 11,495.67 : x
  2. Step 2: Convert to fraction form
    5,287.78/11,495.67 = 11,495.67/x
  3. Step 3: Cross multiply
    5,287.78x = 11,495.67 × 11,495.67
  4. Step 4: Simplify right side
    5,287.78x = 132,150,471.86
  5. Step 5: Solve for x
    x = 132,150,471.86/5,287.78
  6. Step 6: Final answer
    x = 24,991.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.