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Finding the Third Proportional to 10,198.50 and 14,436.50

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Solution

The third proportional to 10,198.50 and 14,436.50 is: 20,435.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,198.50 : 14,436.50 = 14,436.50 : x
  2. Step 2: Convert to fraction form
    10,198.50/14,436.50 = 14,436.50/x
  3. Step 3: Cross multiply
    10,198.50x = 14,436.50 × 14,436.50
  4. Step 4: Simplify right side
    10,198.50x = 208,412,532.25
  5. Step 5: Solve for x
    x = 208,412,532.25/10,198.50
  6. Step 6: Final answer
    x = 20,435.61

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.