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Finding the Third Proportional to 23,586 and 51,627

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Solution

The third proportional to 23,586 and 51,627 is: 113,005.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,586 : 51,627 = 51,627 : x
  2. Step 2: Convert to fraction form
    23,586/51,627 = 51,627/x
  3. Step 3: Cross multiply
    23,586x = 51,627 × 51,627
  4. Step 4: Simplify right side
    23,586x = 2,665,347,129
  5. Step 5: Solve for x
    x = 2,665,347,129/23,586
  6. Step 6: Final answer
    x = 113,005.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.