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Finding the Third Proportional to 4,296.38 and 8,982.56

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Solution

The third proportional to 4,296.38 and 8,982.56 is: 18,780.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,296.38 : 8,982.56 = 8,982.56 : x
  2. Step 2: Convert to fraction form
    4,296.38/8,982.56 = 8,982.56/x
  3. Step 3: Cross multiply
    4,296.38x = 8,982.56 × 8,982.56
  4. Step 4: Simplify right side
    4,296.38x = 80,686,429.07
  5. Step 5: Solve for x
    x = 80,686,429.07/4,296.38
  6. Step 6: Final answer
    x = 18,780.12

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.