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Finding the Third Proportional to 14,202.50 and 22,230.75

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Solution

The third proportional to 14,202.50 and 22,230.75 is: 34,797.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,202.50 : 22,230.75 = 22,230.75 : x
  2. Step 2: Convert to fraction form
    14,202.50/22,230.75 = 22,230.75/x
  3. Step 3: Cross multiply
    14,202.50x = 22,230.75 × 22,230.75
  4. Step 4: Simplify right side
    14,202.50x = 494,206,245.56
  5. Step 5: Solve for x
    x = 494,206,245.56/14,202.50
  6. Step 6: Final answer
    x = 34,797.13

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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.