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Finding the Third Proportional to 8,505 and 18,454.50

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Solution

The third proportional to 8,505 and 18,454.50 is: 40,043.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,505 : 18,454.50 = 18,454.50 : x
  2. Step 2: Convert to fraction form
    8,505/18,454.50 = 18,454.50/x
  3. Step 3: Cross multiply
    8,505x = 18,454.50 × 18,454.50
  4. Step 4: Simplify right side
    8,505x = 340,568,570.25
  5. Step 5: Solve for x
    x = 340,568,570.25/8,505
  6. Step 6: Final answer
    x = 40,043.34

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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.