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Finding the Third Proportional to 13,890 and 28,296

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Solution

The third proportional to 13,890 and 28,296 is: 57,643.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,890 : 28,296 = 28,296 : x
  2. Step 2: Convert to fraction form
    13,890/28,296 = 28,296/x
  3. Step 3: Cross multiply
    13,890x = 28,296 × 28,296
  4. Step 4: Simplify right side
    13,890x = 800,663,616
  5. Step 5: Solve for x
    x = 800,663,616/13,890
  6. Step 6: Final answer
    x = 57,643.17

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.