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Finding the Third Proportional to 12,273.75 and 18,876.38

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Solution

The third proportional to 12,273.75 and 18,876.38 is: 29,030.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,273.75 : 18,876.38 = 18,876.38 : x
  2. Step 2: Convert to fraction form
    12,273.75/18,876.38 = 18,876.38/x
  3. Step 3: Cross multiply
    12,273.75x = 18,876.38 × 18,876.38
  4. Step 4: Simplify right side
    12,273.75x = 356,317,533.14
  5. Step 5: Solve for x
    x = 356,317,533.14/12,273.75
  6. Step 6: Final answer
    x = 29,030.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.