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Finding the Third Proportional to 20,090.25 and 28,698.75

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Solution

The third proportional to 20,090.25 and 28,698.75 is: 40,995.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,090.25 : 28,698.75 = 28,698.75 : x
  2. Step 2: Convert to fraction form
    20,090.25/28,698.75 = 28,698.75/x
  3. Step 3: Cross multiply
    20,090.25x = 28,698.75 × 28,698.75
  4. Step 4: Simplify right side
    20,090.25x = 823,618,251.56
  5. Step 5: Solve for x
    x = 823,618,251.56/20,090.25
  6. Step 6: Final answer
    x = 40,995.92

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.