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Finding the Third Proportional to 7,884.84 and 18,424.97

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Solution

The third proportional to 7,884.84 and 18,424.97 is: 43,054.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884.84 : 18,424.97 = 18,424.97 : x
  2. Step 2: Convert to fraction form
    7,884.84/18,424.97 = 18,424.97/x
  3. Step 3: Cross multiply
    7,884.84x = 18,424.97 × 18,424.97
  4. Step 4: Simplify right side
    7,884.84x = 339,479,473.44
  5. Step 5: Solve for x
    x = 339,479,473.44/7,884.84
  6. Step 6: Final answer
    x = 43,054.69

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.