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Finding the Third Proportional to 11,550.94 and 16,518.09

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Solution

The third proportional to 11,550.94 and 16,518.09 is: 23,621.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,550.94 : 16,518.09 = 16,518.09 : x
  2. Step 2: Convert to fraction form
    11,550.94/16,518.09 = 16,518.09/x
  3. Step 3: Cross multiply
    11,550.94x = 16,518.09 × 16,518.09
  4. Step 4: Simplify right side
    11,550.94x = 272,847,421.13
  5. Step 5: Solve for x
    x = 272,847,421.13/11,550.94
  6. Step 6: Final answer
    x = 23,621.24

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.