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Finding the Third Proportional to 12,359.25 and 18,645.75

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Solution

The third proportional to 12,359.25 and 18,645.75 is: 28,129.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,359.25 : 18,645.75 = 18,645.75 : x
  2. Step 2: Convert to fraction form
    12,359.25/18,645.75 = 18,645.75/x
  3. Step 3: Cross multiply
    12,359.25x = 18,645.75 × 18,645.75
  4. Step 4: Simplify right side
    12,359.25x = 347,663,993.06
  5. Step 5: Solve for x
    x = 347,663,993.06/12,359.25
  6. Step 6: Final answer
    x = 28,129.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.