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Finding the Third Proportional to 12,073.25 and 19,211

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Solution

The third proportional to 12,073.25 and 19,211 is: 30,568.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,073.25 : 19,211 = 19,211 : x
  2. Step 2: Convert to fraction form
    12,073.25/19,211 = 19,211/x
  3. Step 3: Cross multiply
    12,073.25x = 19,211 × 19,211
  4. Step 4: Simplify right side
    12,073.25x = 369,062,521
  5. Step 5: Solve for x
    x = 369,062,521/12,073.25
  6. Step 6: Final answer
    x = 30,568.61

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.