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Finding the Third Proportional to 20,155.50 and 29,025

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Solution

The third proportional to 20,155.50 and 29,025 is: 41,797.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,155.50 : 29,025 = 29,025 : x
  2. Step 2: Convert to fraction form
    20,155.50/29,025 = 29,025/x
  3. Step 3: Cross multiply
    20,155.50x = 29,025 × 29,025
  4. Step 4: Simplify right side
    20,155.50x = 842,450,625
  5. Step 5: Solve for x
    x = 842,450,625/20,155.50
  6. Step 6: Final answer
    x = 41,797.56

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.