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Finding the Third Proportional to 11,938.09 and 16,256.56

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Solution

The third proportional to 11,938.09 and 16,256.56 is: 22,137.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,938.09 : 16,256.56 = 16,256.56 : x
  2. Step 2: Convert to fraction form
    11,938.09/16,256.56 = 16,256.56/x
  3. Step 3: Cross multiply
    11,938.09x = 16,256.56 × 16,256.56
  4. Step 4: Simplify right side
    11,938.09x = 264,275,665.56
  5. Step 5: Solve for x
    x = 264,275,665.56/11,938.09
  6. Step 6: Final answer
    x = 22,137.19

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.