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Finding the Third Proportional to 12,825 and 19,274.63

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Solution

The third proportional to 12,825 and 19,274.63 is: 28,967.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,825 : 19,274.63 = 19,274.63 : x
  2. Step 2: Convert to fraction form
    12,825/19,274.63 = 19,274.63/x
  3. Step 3: Cross multiply
    12,825x = 19,274.63 × 19,274.63
  4. Step 4: Simplify right side
    12,825x = 371,511,168.89
  5. Step 5: Solve for x
    x = 371,511,168.89/12,825
  6. Step 6: Final answer
    x = 28,967.73

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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.