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Finding the Third Proportional to 8,495.63 and 18,022.88

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Solution

The third proportional to 8,495.63 and 18,022.88 is: 38,234.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,495.63 : 18,022.88 = 18,022.88 : x
  2. Step 2: Convert to fraction form
    8,495.63/18,022.88 = 18,022.88/x
  3. Step 3: Cross multiply
    8,495.63x = 18,022.88 × 18,022.88
  4. Step 4: Simplify right side
    8,495.63x = 324,824,023.27
  5. Step 5: Solve for x
    x = 324,824,023.27/8,495.63
  6. Step 6: Final answer
    x = 38,234.27

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.