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Finding the Third Proportional to 13,025.81 and 17,650.41

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Solution

The third proportional to 13,025.81 and 17,650.41 is: 23,916.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,025.81 : 17,650.41 = 17,650.41 : x
  2. Step 2: Convert to fraction form
    13,025.81/17,650.41 = 17,650.41/x
  3. Step 3: Cross multiply
    13,025.81x = 17,650.41 × 17,650.41
  4. Step 4: Simplify right side
    13,025.81x = 311,536,840.79
  5. Step 5: Solve for x
    x = 311,536,840.79/13,025.81
  6. Step 6: Final answer
    x = 23,916.88

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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.