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Finding the Third Proportional to 8,975 and 12,819.50

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Solution

The third proportional to 8,975 and 12,819.50 is: 18,310.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,975 : 12,819.50 = 12,819.50 : x
  2. Step 2: Convert to fraction form
    8,975/12,819.50 = 12,819.50/x
  3. Step 3: Cross multiply
    8,975x = 12,819.50 × 12,819.50
  4. Step 4: Simplify right side
    8,975x = 164,339,580.25
  5. Step 5: Solve for x
    x = 164,339,580.25/8,975
  6. Step 6: Final answer
    x = 18,310.82

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.