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Finding the Third Proportional to 6,493.13 and 14,079.38

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Solution

The third proportional to 6,493.13 and 14,079.38 is: 30,529.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,493.13 : 14,079.38 = 14,079.38 : x
  2. Step 2: Convert to fraction form
    6,493.13/14,079.38 = 14,079.38/x
  3. Step 3: Cross multiply
    6,493.13x = 14,079.38 × 14,079.38
  4. Step 4: Simplify right side
    6,493.13x = 198,228,800.39
  5. Step 5: Solve for x
    x = 198,228,800.39/6,493.13
  6. Step 6: Final answer
    x = 30,529.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.