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Finding the Third Proportional to 11,586 and 22,010

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Solution

The third proportional to 11,586 and 22,010 is: 41,812.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,586 : 22,010 = 22,010 : x
  2. Step 2: Convert to fraction form
    11,586/22,010 = 22,010/x
  3. Step 3: Cross multiply
    11,586x = 22,010 × 22,010
  4. Step 4: Simplify right side
    11,586x = 484,440,100
  5. Step 5: Solve for x
    x = 484,440,100/11,586
  6. Step 6: Final answer
    x = 41,812.54

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.