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Finding the Third Proportional to 6,819.19 and 15,874.73

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Solution

The third proportional to 6,819.19 and 15,874.73 is: 36,955.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,819.19 : 15,874.73 = 15,874.73 : x
  2. Step 2: Convert to fraction form
    6,819.19/15,874.73 = 15,874.73/x
  3. Step 3: Cross multiply
    6,819.19x = 15,874.73 × 15,874.73
  4. Step 4: Simplify right side
    6,819.19x = 252,007,191.48
  5. Step 5: Solve for x
    x = 252,007,191.48/6,819.19
  6. Step 6: Final answer
    x = 36,955.60

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.