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Finding the Third Proportional to 20,180.25 and 30,597.75

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Solution

The third proportional to 20,180.25 and 30,597.75 is: 46,393.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,180.25 : 30,597.75 = 30,597.75 : x
  2. Step 2: Convert to fraction form
    20,180.25/30,597.75 = 30,597.75/x
  3. Step 3: Cross multiply
    20,180.25x = 30,597.75 × 30,597.75
  4. Step 4: Simplify right side
    20,180.25x = 936,222,305.06
  5. Step 5: Solve for x
    x = 936,222,305.06/20,180.25
  6. Step 6: Final answer
    x = 46,393.00

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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.