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Finding the Third Proportional to 6,407 and 14,086

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Solution

The third proportional to 6,407 and 14,086 is: 30,968.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407 : 14,086 = 14,086 : x
  2. Step 2: Convert to fraction form
    6,407/14,086 = 14,086/x
  3. Step 3: Cross multiply
    6,407x = 14,086 × 14,086
  4. Step 4: Simplify right side
    6,407x = 198,415,396
  5. Step 5: Solve for x
    x = 198,415,396/6,407
  6. Step 6: Final answer
    x = 30,968.53

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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.