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Finding the Third Proportional to 12,872.25 and 30,084.75

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Solution

The third proportional to 12,872.25 and 30,084.75 is: 70,313.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,872.25 : 30,084.75 = 30,084.75 : x
  2. Step 2: Convert to fraction form
    12,872.25/30,084.75 = 30,084.75/x
  3. Step 3: Cross multiply
    12,872.25x = 30,084.75 × 30,084.75
  4. Step 4: Simplify right side
    12,872.25x = 905,092,182.56
  5. Step 5: Solve for x
    x = 905,092,182.56/12,872.25
  6. Step 6: Final answer
    x = 70,313.44

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.