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Finding the Third Proportional to 8,148 and 12,185.25

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Solution

The third proportional to 8,148 and 12,185.25 is: 18,222.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,148 : 12,185.25 = 12,185.25 : x
  2. Step 2: Convert to fraction form
    8,148/12,185.25 = 12,185.25/x
  3. Step 3: Cross multiply
    8,148x = 12,185.25 × 12,185.25
  4. Step 4: Simplify right side
    8,148x = 148,480,317.56
  5. Step 5: Solve for x
    x = 148,480,317.56/8,148
  6. Step 6: Final answer
    x = 18,222.92

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