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Finding the Third Proportional to 11,244.75 and 16,502.25

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Solution

The third proportional to 11,244.75 and 16,502.25 is: 24,217.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,244.75 : 16,502.25 = 16,502.25 : x
  2. Step 2: Convert to fraction form
    11,244.75/16,502.25 = 16,502.25/x
  3. Step 3: Cross multiply
    11,244.75x = 16,502.25 × 16,502.25
  4. Step 4: Simplify right side
    11,244.75x = 272,324,255.06
  5. Step 5: Solve for x
    x = 272,324,255.06/11,244.75
  6. Step 6: Final answer
    x = 24,217.90

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.