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Finding the Third Proportional to 12,195 and 18,034.50

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Solution

The third proportional to 12,195 and 18,034.50 is: 26,670.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,195 : 18,034.50 = 18,034.50 : x
  2. Step 2: Convert to fraction form
    12,195/18,034.50 = 18,034.50/x
  3. Step 3: Cross multiply
    12,195x = 18,034.50 × 18,034.50
  4. Step 4: Simplify right side
    12,195x = 325,243,190.25
  5. Step 5: Solve for x
    x = 325,243,190.25/12,195
  6. Step 6: Final answer
    x = 26,670.21

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.