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Finding the Third Proportional to 12,065 and 18,225.50

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Solution

The third proportional to 12,065 and 18,225.50 is: 27,531.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,065 : 18,225.50 = 18,225.50 : x
  2. Step 2: Convert to fraction form
    12,065/18,225.50 = 18,225.50/x
  3. Step 3: Cross multiply
    12,065x = 18,225.50 × 18,225.50
  4. Step 4: Simplify right side
    12,065x = 332,168,850.25
  5. Step 5: Solve for x
    x = 332,168,850.25/12,065
  6. Step 6: Final answer
    x = 27,531.61

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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.