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Finding the Third Proportional to 6,883 and 14,129

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Solution

The third proportional to 6,883 and 14,129 is: 29,003.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,883 : 14,129 = 14,129 : x
  2. Step 2: Convert to fraction form
    6,883/14,129 = 14,129/x
  3. Step 3: Cross multiply
    6,883x = 14,129 × 14,129
  4. Step 4: Simplify right side
    6,883x = 199,628,641
  5. Step 5: Solve for x
    x = 199,628,641/6,883
  6. Step 6: Final answer
    x = 29,003.14

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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.