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Finding the Third Proportional to 13,604.25 and 20,811.75

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Solution

The third proportional to 13,604.25 and 20,811.75 is: 31,837.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,604.25 : 20,811.75 = 20,811.75 : x
  2. Step 2: Convert to fraction form
    13,604.25/20,811.75 = 20,811.75/x
  3. Step 3: Cross multiply
    13,604.25x = 20,811.75 × 20,811.75
  4. Step 4: Simplify right side
    13,604.25x = 433,128,938.06
  5. Step 5: Solve for x
    x = 433,128,938.06/13,604.25
  6. Step 6: Final answer
    x = 31,837.77

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.