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Finding the Third Proportional to 13,504 and 28,475

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Solution

The third proportional to 13,504 and 28,475 is: 60,043.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,504 : 28,475 = 28,475 : x
  2. Step 2: Convert to fraction form
    13,504/28,475 = 28,475/x
  3. Step 3: Cross multiply
    13,504x = 28,475 × 28,475
  4. Step 4: Simplify right side
    13,504x = 810,825,625
  5. Step 5: Solve for x
    x = 810,825,625/13,504
  6. Step 6: Final answer
    x = 60,043.37

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.