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Finding the Third Proportional to 14,190.75 and 22,213.13

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Solution

The third proportional to 14,190.75 and 22,213.13 is: 34,770.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,190.75 : 22,213.13 = 22,213.13 : x
  2. Step 2: Convert to fraction form
    14,190.75/22,213.13 = 22,213.13/x
  3. Step 3: Cross multiply
    14,190.75x = 22,213.13 × 22,213.13
  4. Step 4: Simplify right side
    14,190.75x = 493,422,922.27
  5. Step 5: Solve for x
    x = 493,422,922.27/14,190.75
  6. Step 6: Final answer
    x = 34,770.74

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.