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Finding the Third Proportional to 6,398.37 and 13,104.28

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Solution

The third proportional to 6,398.37 and 13,104.28 is: 26,838.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,398.37 : 13,104.28 = 13,104.28 : x
  2. Step 2: Convert to fraction form
    6,398.37/13,104.28 = 13,104.28/x
  3. Step 3: Cross multiply
    6,398.37x = 13,104.28 × 13,104.28
  4. Step 4: Simplify right side
    6,398.37x = 171,722,187.08
  5. Step 5: Solve for x
    x = 171,722,187.08/6,398.37
  6. Step 6: Final answer
    x = 26,838.44

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.