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Finding the Third Proportional to 8,493.50 and 18,080.50

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Solution

The third proportional to 8,493.50 and 18,080.50 is: 38,488.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,493.50 : 18,080.50 = 18,080.50 : x
  2. Step 2: Convert to fraction form
    8,493.50/18,080.50 = 18,080.50/x
  3. Step 3: Cross multiply
    8,493.50x = 18,080.50 × 18,080.50
  4. Step 4: Simplify right side
    8,493.50x = 326,904,480.25
  5. Step 5: Solve for x
    x = 326,904,480.25/8,493.50
  6. Step 6: Final answer
    x = 38,488.78

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.