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Finding the Third Proportional to 13,131.56 and 19,969.88

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Solution

The third proportional to 13,131.56 and 19,969.88 is: 30,369.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,131.56 : 19,969.88 = 19,969.88 : x
  2. Step 2: Convert to fraction form
    13,131.56/19,969.88 = 19,969.88/x
  3. Step 3: Cross multiply
    13,131.56x = 19,969.88 × 19,969.88
  4. Step 4: Simplify right side
    13,131.56x = 398,795,907.52
  5. Step 5: Solve for x
    x = 398,795,907.52/13,131.56
  6. Step 6: Final answer
    x = 30,369.27

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.