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Finding the Third Proportional to 19,742.25 and 40,277.25

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Solution

The third proportional to 19,742.25 and 40,277.25 is: 82,171.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,742.25 : 40,277.25 = 40,277.25 : x
  2. Step 2: Convert to fraction form
    19,742.25/40,277.25 = 40,277.25/x
  3. Step 3: Cross multiply
    19,742.25x = 40,277.25 × 40,277.25
  4. Step 4: Simplify right side
    19,742.25x = 1,622,256,867.56
  5. Step 5: Solve for x
    x = 1,622,256,867.56/19,742.25
  6. Step 6: Final answer
    x = 82,171.83

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.