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Finding the Third Proportional to 11,343.50 and 17,025

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Solution

The third proportional to 11,343.50 and 17,025 is: 25,552.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,343.50 : 17,025 = 17,025 : x
  2. Step 2: Convert to fraction form
    11,343.50/17,025 = 17,025/x
  3. Step 3: Cross multiply
    11,343.50x = 17,025 × 17,025
  4. Step 4: Simplify right side
    11,343.50x = 289,850,625
  5. Step 5: Solve for x
    x = 289,850,625/11,343.50
  6. Step 6: Final answer
    x = 25,552.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.