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Finding the Third Proportional to 27,696 and 58,848

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Solution

The third proportional to 27,696 and 58,848 is: 125,039.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,696 : 58,848 = 58,848 : x
  2. Step 2: Convert to fraction form
    27,696/58,848 = 58,848/x
  3. Step 3: Cross multiply
    27,696x = 58,848 × 58,848
  4. Step 4: Simplify right side
    27,696x = 3,463,087,104
  5. Step 5: Solve for x
    x = 3,463,087,104/27,696
  6. Step 6: Final answer
    x = 125,039.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.