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Finding the Third Proportional to 17,921.25 and 38,986.31

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Solution

The third proportional to 17,921.25 and 38,986.31 is: 84,811.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,921.25 : 38,986.31 = 38,986.31 : x
  2. Step 2: Convert to fraction form
    17,921.25/38,986.31 = 38,986.31/x
  3. Step 3: Cross multiply
    17,921.25x = 38,986.31 × 38,986.31
  4. Step 4: Simplify right side
    17,921.25x = 1,519,932,562.35
  5. Step 5: Solve for x
    x = 1,519,932,562.35/17,921.25
  6. Step 6: Final answer
    x = 84,811.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.