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Finding the Third Proportional to 3,542.06 and 7,693.31

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Solution

The third proportional to 3,542.06 and 7,693.31 is: 16,709.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.06 : 7,693.31 = 7,693.31 : x
  2. Step 2: Convert to fraction form
    3,542.06/7,693.31 = 7,693.31/x
  3. Step 3: Cross multiply
    3,542.06x = 7,693.31 × 7,693.31
  4. Step 4: Simplify right side
    3,542.06x = 59,187,057.22
  5. Step 5: Solve for x
    x = 59,187,057.22/3,542.06
  6. Step 6: Final answer
    x = 16,709.77

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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.