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Finding the Third Proportional to 18,796.50 and 29,025

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Solution

The third proportional to 18,796.50 and 29,025 is: 44,819.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,796.50 : 29,025 = 29,025 : x
  2. Step 2: Convert to fraction form
    18,796.50/29,025 = 29,025/x
  3. Step 3: Cross multiply
    18,796.50x = 29,025 × 29,025
  4. Step 4: Simplify right side
    18,796.50x = 842,450,625
  5. Step 5: Solve for x
    x = 842,450,625/18,796.50
  6. Step 6: Final answer
    x = 44,819.55

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.