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Finding the Third Proportional to 13,907.25 and 20,837.25

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Solution

The third proportional to 13,907.25 and 20,837.25 is: 31,220.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,907.25 : 20,837.25 = 20,837.25 : x
  2. Step 2: Convert to fraction form
    13,907.25/20,837.25 = 20,837.25/x
  3. Step 3: Cross multiply
    13,907.25x = 20,837.25 × 20,837.25
  4. Step 4: Simplify right side
    13,907.25x = 434,190,987.56
  5. Step 5: Solve for x
    x = 434,190,987.56/13,907.25
  6. Step 6: Final answer
    x = 31,220.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.