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Finding the Third Proportional to 11,586 and 18,405

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Solution

The third proportional to 11,586 and 18,405 is: 29,237.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,586 : 18,405 = 18,405 : x
  2. Step 2: Convert to fraction form
    11,586/18,405 = 18,405/x
  3. Step 3: Cross multiply
    11,586x = 18,405 × 18,405
  4. Step 4: Simplify right side
    11,586x = 338,744,025
  5. Step 5: Solve for x
    x = 338,744,025/11,586
  6. Step 6: Final answer
    x = 29,237.36

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.