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Finding the Third Proportional to 13,754.81 and 20,763.84

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Solution

The third proportional to 13,754.81 and 20,763.84 is: 31,344.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,754.81 : 20,763.84 = 20,763.84 : x
  2. Step 2: Convert to fraction form
    13,754.81/20,763.84 = 20,763.84/x
  3. Step 3: Cross multiply
    13,754.81x = 20,763.84 × 20,763.84
  4. Step 4: Simplify right side
    13,754.81x = 431,137,207.27
  5. Step 5: Solve for x
    x = 431,137,207.27/13,754.81
  6. Step 6: Final answer
    x = 31,344.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.