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Finding the Third Proportional to 12,271.50 and 19,197

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Solution

The third proportional to 12,271.50 and 19,197 is: 30,030.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,271.50 : 19,197 = 19,197 : x
  2. Step 2: Convert to fraction form
    12,271.50/19,197 = 19,197/x
  3. Step 3: Cross multiply
    12,271.50x = 19,197 × 19,197
  4. Step 4: Simplify right side
    12,271.50x = 368,524,809
  5. Step 5: Solve for x
    x = 368,524,809/12,271.50
  6. Step 6: Final answer
    x = 30,030.95

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.