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Finding the Third Proportional to 6,348.94 and 13,928.63

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Solution

The third proportional to 6,348.94 and 13,928.63 is: 30,557.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,348.94 : 13,928.63 = 13,928.63 : x
  2. Step 2: Convert to fraction form
    6,348.94/13,928.63 = 13,928.63/x
  3. Step 3: Cross multiply
    6,348.94x = 13,928.63 × 13,928.63
  4. Step 4: Simplify right side
    6,348.94x = 194,006,594.39
  5. Step 5: Solve for x
    x = 194,006,594.39/6,348.94
  6. Step 6: Final answer
    x = 30,557.33

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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.