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Finding the Third Proportional to 11,586 and 13,287

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Solution

The third proportional to 11,586 and 13,287 is: 15,237.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,586 : 13,287 = 13,287 : x
  2. Step 2: Convert to fraction form
    11,586/13,287 = 13,287/x
  3. Step 3: Cross multiply
    11,586x = 13,287 × 13,287
  4. Step 4: Simplify right side
    11,586x = 176,544,369
  5. Step 5: Solve for x
    x = 176,544,369/11,586
  6. Step 6: Final answer
    x = 15,237.73

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.