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Finding the Third Proportional to 3,412.97 and 7,464.66

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Solution

The third proportional to 3,412.97 and 7,464.66 is: 16,326.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.97 : 7,464.66 = 7,464.66 : x
  2. Step 2: Convert to fraction form
    3,412.97/7,464.66 = 7,464.66/x
  3. Step 3: Cross multiply
    3,412.97x = 7,464.66 × 7,464.66
  4. Step 4: Simplify right side
    3,412.97x = 55,721,092.93
  5. Step 5: Solve for x
    x = 55,721,092.93/3,412.97
  6. Step 6: Final answer
    x = 16,326.28

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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.