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Finding the Third Proportional to 1,954.69 and 4,113.56

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Solution

The third proportional to 1,954.69 and 4,113.56 is: 8,656.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,954.69 : 4,113.56 = 4,113.56 : x
  2. Step 2: Convert to fraction form
    1,954.69/4,113.56 = 4,113.56/x
  3. Step 3: Cross multiply
    1,954.69x = 4,113.56 × 4,113.56
  4. Step 4: Simplify right side
    1,954.69x = 16,921,396.44
  5. Step 5: Solve for x
    x = 16,921,396.44/1,954.69
  6. Step 6: Final answer
    x = 8,656.83

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Why These Related Problems?

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