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Finding the Third Proportional to 1,984.82 and 4,299.96

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Solution

The third proportional to 1,984.82 and 4,299.96 is: 9,315.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984.82 : 4,299.96 = 4,299.96 : x
  2. Step 2: Convert to fraction form
    1,984.82/4,299.96 = 4,299.96/x
  3. Step 3: Cross multiply
    1,984.82x = 4,299.96 × 4,299.96
  4. Step 4: Simplify right side
    1,984.82x = 18,489,664.06
  5. Step 5: Solve for x
    x = 18,489,664.06/1,984.82
  6. Step 6: Final answer
    x = 9,315.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.