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Finding the Third Proportional to 14,041 and 21,118.50

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Solution

The third proportional to 14,041 and 21,118.50 is: 31,763.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,041 : 21,118.50 = 21,118.50 : x
  2. Step 2: Convert to fraction form
    14,041/21,118.50 = 21,118.50/x
  3. Step 3: Cross multiply
    14,041x = 21,118.50 × 21,118.50
  4. Step 4: Simplify right side
    14,041x = 445,991,042.25
  5. Step 5: Solve for x
    x = 445,991,042.25/14,041
  6. Step 6: Final answer
    x = 31,763.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.