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Finding the Third Proportional to 15,849.63 and 33,467.38

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Solution

The third proportional to 15,849.63 and 33,467.38 is: 70,668.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,849.63 : 33,467.38 = 33,467.38 : x
  2. Step 2: Convert to fraction form
    15,849.63/33,467.38 = 33,467.38/x
  3. Step 3: Cross multiply
    15,849.63x = 33,467.38 × 33,467.38
  4. Step 4: Simplify right side
    15,849.63x = 1,120,065,189.39
  5. Step 5: Solve for x
    x = 1,120,065,189.39/15,849.63
  6. Step 6: Final answer
    x = 70,668.25

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