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Finding the Third Proportional to 11,896.50 and 14,056.50

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Solution

The third proportional to 11,896.50 and 14,056.50 is: 16,608.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,896.50 : 14,056.50 = 14,056.50 : x
  2. Step 2: Convert to fraction form
    11,896.50/14,056.50 = 14,056.50/x
  3. Step 3: Cross multiply
    11,896.50x = 14,056.50 × 14,056.50
  4. Step 4: Simplify right side
    11,896.50x = 197,585,192.25
  5. Step 5: Solve for x
    x = 197,585,192.25/11,896.50
  6. Step 6: Final answer
    x = 16,608.68

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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.