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Finding the Third Proportional to 40,367.25 and 87,837.75

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Solution

The third proportional to 40,367.25 and 87,837.75 is: 191,131.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,367.25 : 87,837.75 = 87,837.75 : x
  2. Step 2: Convert to fraction form
    40,367.25/87,837.75 = 87,837.75/x
  3. Step 3: Cross multiply
    40,367.25x = 87,837.75 × 87,837.75
  4. Step 4: Simplify right side
    40,367.25x = 7,715,470,325.06
  5. Step 5: Solve for x
    x = 7,715,470,325.06/40,367.25
  6. Step 6: Final answer
    x = 191,131.93

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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.