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Finding the Third Proportional to 8,201.50 and 17,477

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Solution

The third proportional to 8,201.50 and 17,477 is: 37,242.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.50 : 17,477 = 17,477 : x
  2. Step 2: Convert to fraction form
    8,201.50/17,477 = 17,477/x
  3. Step 3: Cross multiply
    8,201.50x = 17,477 × 17,477
  4. Step 4: Simplify right side
    8,201.50x = 305,445,529
  5. Step 5: Solve for x
    x = 305,445,529/8,201.50
  6. Step 6: Final answer
    x = 37,242.64

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.