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Finding the Third Proportional to 6,693.26 and 14,254.73

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Solution

The third proportional to 6,693.26 and 14,254.73 is: 30,358.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,693.26 : 14,254.73 = 14,254.73 : x
  2. Step 2: Convert to fraction form
    6,693.26/14,254.73 = 14,254.73/x
  3. Step 3: Cross multiply
    6,693.26x = 14,254.73 × 14,254.73
  4. Step 4: Simplify right side
    6,693.26x = 203,197,452.10
  5. Step 5: Solve for x
    x = 203,197,452.10/6,693.26
  6. Step 6: Final answer
    x = 30,358.53

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.