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Finding the Third Proportional to 12,069 and 18,572.25

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Solution

The third proportional to 12,069 and 18,572.25 is: 28,579.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,069 : 18,572.25 = 18,572.25 : x
  2. Step 2: Convert to fraction form
    12,069/18,572.25 = 18,572.25/x
  3. Step 3: Cross multiply
    12,069x = 18,572.25 × 18,572.25
  4. Step 4: Simplify right side
    12,069x = 344,928,470.06
  5. Step 5: Solve for x
    x = 344,928,470.06/12,069
  6. Step 6: Final answer
    x = 28,579.71

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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.