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Finding the Third Proportional to 4,983 and 11,904

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Solution

The third proportional to 4,983 and 11,904 is: 28,437.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,983 : 11,904 = 11,904 : x
  2. Step 2: Convert to fraction form
    4,983/11,904 = 11,904/x
  3. Step 3: Cross multiply
    4,983x = 11,904 × 11,904
  4. Step 4: Simplify right side
    4,983x = 141,705,216
  5. Step 5: Solve for x
    x = 141,705,216/4,983
  6. Step 6: Final answer
    x = 28,437.73

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.