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Finding the Third Proportional to 9,099 and 13,661.25

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Solution

The third proportional to 9,099 and 13,661.25 is: 20,511.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,099 : 13,661.25 = 13,661.25 : x
  2. Step 2: Convert to fraction form
    9,099/13,661.25 = 13,661.25/x
  3. Step 3: Cross multiply
    9,099x = 13,661.25 × 13,661.25
  4. Step 4: Simplify right side
    9,099x = 186,629,751.56
  5. Step 5: Solve for x
    x = 186,629,751.56/9,099
  6. Step 6: Final answer
    x = 20,511.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.