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Finding the Third Proportional to 8,037.75 and 17,137.50

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Solution

The third proportional to 8,037.75 and 17,137.50 is: 36,539.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,037.75 : 17,137.50 = 17,137.50 : x
  2. Step 2: Convert to fraction form
    8,037.75/17,137.50 = 17,137.50/x
  3. Step 3: Cross multiply
    8,037.75x = 17,137.50 × 17,137.50
  4. Step 4: Simplify right side
    8,037.75x = 293,693,906.25
  5. Step 5: Solve for x
    x = 293,693,906.25/8,037.75
  6. Step 6: Final answer
    x = 36,539.32

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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.