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Finding the Third Proportional to 11,308.50 and 16,232.06

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Solution

The third proportional to 11,308.50 and 16,232.06 is: 23,299.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,308.50 : 16,232.06 = 16,232.06 : x
  2. Step 2: Convert to fraction form
    11,308.50/16,232.06 = 16,232.06/x
  3. Step 3: Cross multiply
    11,308.50x = 16,232.06 × 16,232.06
  4. Step 4: Simplify right side
    11,308.50x = 263,479,853.00
  5. Step 5: Solve for x
    x = 263,479,853.00/11,308.50
  6. Step 6: Final answer
    x = 23,299.28

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.