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Finding the Third Proportional to 12,021 and 25,891.50

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Solution

The third proportional to 12,021 and 25,891.50 is: 55,766.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,021 : 25,891.50 = 25,891.50 : x
  2. Step 2: Convert to fraction form
    12,021/25,891.50 = 25,891.50/x
  3. Step 3: Cross multiply
    12,021x = 25,891.50 × 25,891.50
  4. Step 4: Simplify right side
    12,021x = 670,369,772.25
  5. Step 5: Solve for x
    x = 670,369,772.25/12,021
  6. Step 6: Final answer
    x = 55,766.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.