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Finding the Third Proportional to 2,983.39 and 6,402.48

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Solution

The third proportional to 2,983.39 and 6,402.48 is: 13,739.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,983.39 : 6,402.48 = 6,402.48 : x
  2. Step 2: Convert to fraction form
    2,983.39/6,402.48 = 6,402.48/x
  3. Step 3: Cross multiply
    2,983.39x = 6,402.48 × 6,402.48
  4. Step 4: Simplify right side
    2,983.39x = 40,991,756.15
  5. Step 5: Solve for x
    x = 40,991,756.15/2,983.39
  6. Step 6: Final answer
    x = 13,739.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.