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Finding the Third Proportional to 20,189.25 and 30,648.38

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Solution

The third proportional to 20,189.25 and 30,648.38 is: 46,525.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,189.25 : 30,648.38 = 30,648.38 : x
  2. Step 2: Convert to fraction form
    20,189.25/30,648.38 = 30,648.38/x
  3. Step 3: Cross multiply
    20,189.25x = 30,648.38 × 30,648.38
  4. Step 4: Simplify right side
    20,189.25x = 939,322,890.14
  5. Step 5: Solve for x
    x = 939,322,890.14/20,189.25
  6. Step 6: Final answer
    x = 46,525.89

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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.