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Finding the Third Proportional to 6,489 and 13,903

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Solution

The third proportional to 6,489 and 13,903 is: 29,787.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,489 : 13,903 = 13,903 : x
  2. Step 2: Convert to fraction form
    6,489/13,903 = 13,903/x
  3. Step 3: Cross multiply
    6,489x = 13,903 × 13,903
  4. Step 4: Simplify right side
    6,489x = 193,293,409
  5. Step 5: Solve for x
    x = 193,293,409/6,489
  6. Step 6: Final answer
    x = 29,787.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.