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Finding the Third Proportional to 3,326.63 and 7,911.56

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Solution

The third proportional to 3,326.63 and 7,911.56 is: 18,815.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,326.63 : 7,911.56 = 7,911.56 : x
  2. Step 2: Convert to fraction form
    3,326.63/7,911.56 = 7,911.56/x
  3. Step 3: Cross multiply
    3,326.63x = 7,911.56 × 7,911.56
  4. Step 4: Simplify right side
    3,326.63x = 62,592,821.19
  5. Step 5: Solve for x
    x = 62,592,821.19/3,326.63
  6. Step 6: Final answer
    x = 18,815.71

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.