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Finding the Third Proportional to 12,069 and 18,647.72

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Solution

The third proportional to 12,069 and 18,647.72 is: 28,812.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,069 : 18,647.72 = 18,647.72 : x
  2. Step 2: Convert to fraction form
    12,069/18,647.72 = 18,647.72/x
  3. Step 3: Cross multiply
    12,069x = 18,647.72 × 18,647.72
  4. Step 4: Simplify right side
    12,069x = 347,737,414.58
  5. Step 5: Solve for x
    x = 347,737,414.58/12,069
  6. Step 6: Final answer
    x = 28,812.45

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.