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Finding the Third Proportional to 5,904 and 13,740

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Solution

The third proportional to 5,904 and 13,740 is: 31,976.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,904 : 13,740 = 13,740 : x
  2. Step 2: Convert to fraction form
    5,904/13,740 = 13,740/x
  3. Step 3: Cross multiply
    5,904x = 13,740 × 13,740
  4. Step 4: Simplify right side
    5,904x = 188,787,600
  5. Step 5: Solve for x
    x = 188,787,600/5,904
  6. Step 6: Final answer
    x = 31,976.22

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.