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Finding the Third Proportional to 3,730.43 and 7,819.66

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Solution

The third proportional to 3,730.43 and 7,819.66 is: 16,391.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,730.43 : 7,819.66 = 7,819.66 : x
  2. Step 2: Convert to fraction form
    3,730.43/7,819.66 = 7,819.66/x
  3. Step 3: Cross multiply
    3,730.43x = 7,819.66 × 7,819.66
  4. Step 4: Simplify right side
    3,730.43x = 61,147,146.05
  5. Step 5: Solve for x
    x = 61,147,146.05/3,730.43
  6. Step 6: Final answer
    x = 16,391.45

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.