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Finding the Third Proportional to 2,074.78 and 3,423.09

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Solution

The third proportional to 2,074.78 and 3,423.09 is: 5,647.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.78 : 3,423.09 = 3,423.09 : x
  2. Step 2: Convert to fraction form
    2,074.78/3,423.09 = 3,423.09/x
  3. Step 3: Cross multiply
    2,074.78x = 3,423.09 × 3,423.09
  4. Step 4: Simplify right side
    2,074.78x = 11,717,570.82
  5. Step 5: Solve for x
    x = 11,717,570.82/2,074.78
  6. Step 6: Final answer
    x = 5,647.62

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.