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Finding the Third Proportional to 11,602 and 17,903

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Solution

The third proportional to 11,602 and 17,903 is: 27,626.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,602 : 17,903 = 17,903 : x
  2. Step 2: Convert to fraction form
    11,602/17,903 = 17,903/x
  3. Step 3: Cross multiply
    11,602x = 17,903 × 17,903
  4. Step 4: Simplify right side
    11,602x = 320,517,409
  5. Step 5: Solve for x
    x = 320,517,409/11,602
  6. Step 6: Final answer
    x = 27,626.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.