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Finding the Third Proportional to 6,373.42 and 14,008.68

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Solution

The third proportional to 6,373.42 and 14,008.68 is: 30,790.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,373.42 : 14,008.68 = 14,008.68 : x
  2. Step 2: Convert to fraction form
    6,373.42/14,008.68 = 14,008.68/x
  3. Step 3: Cross multiply
    6,373.42x = 14,008.68 × 14,008.68
  4. Step 4: Simplify right side
    6,373.42x = 196,242,997.14
  5. Step 5: Solve for x
    x = 196,242,997.14/6,373.42
  6. Step 6: Final answer
    x = 30,790.83

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.