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Finding the Third Proportional to 13,252.50 and 18,576.75

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Solution

The third proportional to 13,252.50 and 18,576.75 is: 26,040.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,252.50 : 18,576.75 = 18,576.75 : x
  2. Step 2: Convert to fraction form
    13,252.50/18,576.75 = 18,576.75/x
  3. Step 3: Cross multiply
    13,252.50x = 18,576.75 × 18,576.75
  4. Step 4: Simplify right side
    13,252.50x = 345,095,640.56
  5. Step 5: Solve for x
    x = 345,095,640.56/13,252.50
  6. Step 6: Final answer
    x = 26,040.04

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.