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Finding the Third Proportional to 12,084.50 and 18,674.75

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Solution

The third proportional to 12,084.50 and 18,674.75 is: 28,858.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,084.50 : 18,674.75 = 18,674.75 : x
  2. Step 2: Convert to fraction form
    12,084.50/18,674.75 = 18,674.75/x
  3. Step 3: Cross multiply
    12,084.50x = 18,674.75 × 18,674.75
  4. Step 4: Simplify right side
    12,084.50x = 348,746,287.56
  5. Step 5: Solve for x
    x = 348,746,287.56/12,084.50
  6. Step 6: Final answer
    x = 28,858.98

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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.