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Finding the Third Proportional to 12,029 and 27,848

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Solution

The third proportional to 12,029 and 27,848 is: 64,470.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,029 : 27,848 = 27,848 : x
  2. Step 2: Convert to fraction form
    12,029/27,848 = 27,848/x
  3. Step 3: Cross multiply
    12,029x = 27,848 × 27,848
  4. Step 4: Simplify right side
    12,029x = 775,511,104
  5. Step 5: Solve for x
    x = 775,511,104/12,029
  6. Step 6: Final answer
    x = 64,470.12

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.