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Finding the Third Proportional to 13,135.50 and 20,185.88

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Solution

The third proportional to 13,135.50 and 20,185.88 is: 31,020.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,135.50 : 20,185.88 = 20,185.88 : x
  2. Step 2: Convert to fraction form
    13,135.50/20,185.88 = 20,185.88/x
  3. Step 3: Cross multiply
    13,135.50x = 20,185.88 × 20,185.88
  4. Step 4: Simplify right side
    13,135.50x = 407,469,549.52
  5. Step 5: Solve for x
    x = 407,469,549.52/13,135.50
  6. Step 6: Final answer
    x = 31,020.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.