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Finding the Third Proportional to 26,815.25 and 40,171

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Solution

The third proportional to 26,815.25 and 40,171 is: 60,178.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,815.25 : 40,171 = 40,171 : x
  2. Step 2: Convert to fraction form
    26,815.25/40,171 = 40,171/x
  3. Step 3: Cross multiply
    26,815.25x = 40,171 × 40,171
  4. Step 4: Simplify right side
    26,815.25x = 1,613,709,241
  5. Step 5: Solve for x
    x = 1,613,709,241/26,815.25
  6. Step 6: Final answer
    x = 60,178.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.