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Finding the Third Proportional to 23,904 and 52,176

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Solution

The third proportional to 23,904 and 52,176 is: 113,886.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,904 : 52,176 = 52,176 : x
  2. Step 2: Convert to fraction form
    23,904/52,176 = 52,176/x
  3. Step 3: Cross multiply
    23,904x = 52,176 × 52,176
  4. Step 4: Simplify right side
    23,904x = 2,722,334,976
  5. Step 5: Solve for x
    x = 2,722,334,976/23,904
  6. Step 6: Final answer
    x = 113,886.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.