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Finding the Third Proportional to 5,947.88 and 13,412.25

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Solution

The third proportional to 5,947.88 and 13,412.25 is: 30,244.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,947.88 : 13,412.25 = 13,412.25 : x
  2. Step 2: Convert to fraction form
    5,947.88/13,412.25 = 13,412.25/x
  3. Step 3: Cross multiply
    5,947.88x = 13,412.25 × 13,412.25
  4. Step 4: Simplify right side
    5,947.88x = 179,888,450.06
  5. Step 5: Solve for x
    x = 179,888,450.06/5,947.88
  6. Step 6: Final answer
    x = 30,244.15

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.