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Finding the Third Proportional to 23,104 and 27,904

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Solution

The third proportional to 23,104 and 27,904 is: 33,701.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,104 : 27,904 = 27,904 : x
  2. Step 2: Convert to fraction form
    23,104/27,904 = 27,904/x
  3. Step 3: Cross multiply
    23,104x = 27,904 × 27,904
  4. Step 4: Simplify right side
    23,104x = 778,633,216
  5. Step 5: Solve for x
    x = 778,633,216/23,104
  6. Step 6: Final answer
    x = 33,701.23

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.