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Finding the Third Proportional to 7,914.38 and 12,271.50

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Solution

The third proportional to 7,914.38 and 12,271.50 is: 19,027.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,914.38 : 12,271.50 = 12,271.50 : x
  2. Step 2: Convert to fraction form
    7,914.38/12,271.50 = 12,271.50/x
  3. Step 3: Cross multiply
    7,914.38x = 12,271.50 × 12,271.50
  4. Step 4: Simplify right side
    7,914.38x = 150,589,712.25
  5. Step 5: Solve for x
    x = 150,589,712.25/7,914.38
  6. Step 6: Final answer
    x = 19,027.37

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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.