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Finding the Third Proportional to 13,565.75 and 20,738.88

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Solution

The third proportional to 13,565.75 and 20,738.88 is: 31,704.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,565.75 : 20,738.88 = 20,738.88 : x
  2. Step 2: Convert to fraction form
    13,565.75/20,738.88 = 20,738.88/x
  3. Step 3: Cross multiply
    13,565.75x = 20,738.88 × 20,738.88
  4. Step 4: Simplify right side
    13,565.75x = 430,100,936.27
  5. Step 5: Solve for x
    x = 430,100,936.27/13,565.75
  6. Step 6: Final answer
    x = 31,704.91

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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.