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Finding the Third Proportional to 6,947.63 and 15,219.38

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Solution

The third proportional to 6,947.63 and 15,219.38 is: 33,339.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,947.63 : 15,219.38 = 15,219.38 : x
  2. Step 2: Convert to fraction form
    6,947.63/15,219.38 = 15,219.38/x
  3. Step 3: Cross multiply
    6,947.63x = 15,219.38 × 15,219.38
  4. Step 4: Simplify right side
    6,947.63x = 231,629,375.39
  5. Step 5: Solve for x
    x = 231,629,375.39/6,947.63
  6. Step 6: Final answer
    x = 33,339.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.