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Finding the Third Proportional to 14,202.75 and 22,231.13

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Solution

The third proportional to 14,202.75 and 22,231.13 is: 34,797.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,202.75 : 22,231.13 = 22,231.13 : x
  2. Step 2: Convert to fraction form
    14,202.75/22,231.13 = 22,231.13/x
  3. Step 3: Cross multiply
    14,202.75x = 22,231.13 × 22,231.13
  4. Step 4: Simplify right side
    14,202.75x = 494,222,918.77
  5. Step 5: Solve for x
    x = 494,222,918.77/14,202.75
  6. Step 6: Final answer
    x = 34,797.69

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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.