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Finding the Third Proportional to 23,008 and 35,848

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Solution

The third proportional to 23,008 and 35,848 is: 55,853.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,008 : 35,848 = 35,848 : x
  2. Step 2: Convert to fraction form
    23,008/35,848 = 35,848/x
  3. Step 3: Cross multiply
    23,008x = 35,848 × 35,848
  4. Step 4: Simplify right side
    23,008x = 1,285,079,104
  5. Step 5: Solve for x
    x = 1,285,079,104/23,008
  6. Step 6: Final answer
    x = 55,853.58

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.