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Finding the Third Proportional to 13,682.25 and 30,125.25

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Solution

The third proportional to 13,682.25 and 30,125.25 is: 66,329.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,682.25 : 30,125.25 = 30,125.25 : x
  2. Step 2: Convert to fraction form
    13,682.25/30,125.25 = 30,125.25/x
  3. Step 3: Cross multiply
    13,682.25x = 30,125.25 × 30,125.25
  4. Step 4: Simplify right side
    13,682.25x = 907,530,687.56
  5. Step 5: Solve for x
    x = 907,530,687.56/13,682.25
  6. Step 6: Final answer
    x = 66,329.05

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.