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Finding the Third Proportional to 12,050 and 19,241

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Solution

The third proportional to 12,050 and 19,241 is: 30,723.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,050 : 19,241 = 19,241 : x
  2. Step 2: Convert to fraction form
    12,050/19,241 = 19,241/x
  3. Step 3: Cross multiply
    12,050x = 19,241 × 19,241
  4. Step 4: Simplify right side
    12,050x = 370,216,081
  5. Step 5: Solve for x
    x = 370,216,081/12,050
  6. Step 6: Final answer
    x = 30,723.33

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.