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Finding the Third Proportional to 11,586 and 15,533

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Solution

The third proportional to 11,586 and 15,533 is: 20,824.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,586 : 15,533 = 15,533 : x
  2. Step 2: Convert to fraction form
    11,586/15,533 = 15,533/x
  3. Step 3: Cross multiply
    11,586x = 15,533 × 15,533
  4. Step 4: Simplify right side
    11,586x = 241,274,089
  5. Step 5: Solve for x
    x = 241,274,089/11,586
  6. Step 6: Final answer
    x = 20,824.62

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.