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Finding the Third Proportional to 8,205 and 18,004.50

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Solution

The third proportional to 8,205 and 18,004.50 is: 39,507.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,205 : 18,004.50 = 18,004.50 : x
  2. Step 2: Convert to fraction form
    8,205/18,004.50 = 18,004.50/x
  3. Step 3: Cross multiply
    8,205x = 18,004.50 × 18,004.50
  4. Step 4: Simplify right side
    8,205x = 324,162,020.25
  5. Step 5: Solve for x
    x = 324,162,020.25/8,205
  6. Step 6: Final answer
    x = 39,507.86

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.