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Finding the Third Proportional to 40,258.25 and 87,453.44

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Solution

The third proportional to 40,258.25 and 87,453.44 is: 189,976.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,258.25 : 87,453.44 = 87,453.44 : x
  2. Step 2: Convert to fraction form
    40,258.25/87,453.44 = 87,453.44/x
  3. Step 3: Cross multiply
    40,258.25x = 87,453.44 × 87,453.44
  4. Step 4: Simplify right side
    40,258.25x = 7,648,103,730.57
  5. Step 5: Solve for x
    x = 7,648,103,730.57/40,258.25
  6. Step 6: Final answer
    x = 189,976.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.