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Finding the Third Proportional to 11,550.09 and 18,362.95

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Solution

The third proportional to 11,550.09 and 18,362.95 is: 29,194.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,550.09 : 18,362.95 = 18,362.95 : x
  2. Step 2: Convert to fraction form
    11,550.09/18,362.95 = 18,362.95/x
  3. Step 3: Cross multiply
    11,550.09x = 18,362.95 × 18,362.95
  4. Step 4: Simplify right side
    11,550.09x = 337,198,047.47
  5. Step 5: Solve for x
    x = 337,198,047.47/11,550.09
  6. Step 6: Final answer
    x = 29,194.40

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.