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Finding the Third Proportional to 1,596.38 and 3,489.75

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Solution

The third proportional to 1,596.38 and 3,489.75 is: 7,628.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.38 : 3,489.75 = 3,489.75 : x
  2. Step 2: Convert to fraction form
    1,596.38/3,489.75 = 3,489.75/x
  3. Step 3: Cross multiply
    1,596.38x = 3,489.75 × 3,489.75
  4. Step 4: Simplify right side
    1,596.38x = 12,178,355.06
  5. Step 5: Solve for x
    x = 12,178,355.06/1,596.38
  6. Step 6: Final answer
    x = 7,628.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.