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Finding the Third Proportional to 17,530 and 37,552

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Solution

The third proportional to 17,530 and 37,552 is: 80,442.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,530 : 37,552 = 37,552 : x
  2. Step 2: Convert to fraction form
    17,530/37,552 = 37,552/x
  3. Step 3: Cross multiply
    17,530x = 37,552 × 37,552
  4. Step 4: Simplify right side
    17,530x = 1,410,152,704
  5. Step 5: Solve for x
    x = 1,410,152,704/17,530
  6. Step 6: Final answer
    x = 80,442.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.