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Finding the Third Proportional to 13,178.50 and 20,941

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Solution

The third proportional to 13,178.50 and 20,941 is: 33,275.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,178.50 : 20,941 = 20,941 : x
  2. Step 2: Convert to fraction form
    13,178.50/20,941 = 20,941/x
  3. Step 3: Cross multiply
    13,178.50x = 20,941 × 20,941
  4. Step 4: Simplify right side
    13,178.50x = 438,525,481
  5. Step 5: Solve for x
    x = 438,525,481/13,178.50
  6. Step 6: Final answer
    x = 33,275.83

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.