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Finding the Third Proportional to 3,621.38 and 7,842.38

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Solution

The third proportional to 3,621.38 and 7,842.38 is: 16,983.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,621.38 : 7,842.38 = 7,842.38 : x
  2. Step 2: Convert to fraction form
    3,621.38/7,842.38 = 7,842.38/x
  3. Step 3: Cross multiply
    3,621.38x = 7,842.38 × 7,842.38
  4. Step 4: Simplify right side
    3,621.38x = 61,502,845.64
  5. Step 5: Solve for x
    x = 61,502,845.64/3,621.38
  6. Step 6: Final answer
    x = 16,983.29

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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.