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Finding the Third Proportional to 13,443.56 and 20,884.41

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Solution

The third proportional to 13,443.56 and 20,884.41 is: 32,443.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,443.56 : 20,884.41 = 20,884.41 : x
  2. Step 2: Convert to fraction form
    13,443.56/20,884.41 = 20,884.41/x
  3. Step 3: Cross multiply
    13,443.56x = 20,884.41 × 20,884.41
  4. Step 4: Simplify right side
    13,443.56x = 436,158,424.42
  5. Step 5: Solve for x
    x = 436,158,424.42/13,443.56
  6. Step 6: Final answer
    x = 32,443.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.