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Finding the Third Proportional to 30,570 and 41,245

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Solution

The third proportional to 30,570 and 41,245 is: 55,647.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,570 : 41,245 = 41,245 : x
  2. Step 2: Convert to fraction form
    30,570/41,245 = 41,245/x
  3. Step 3: Cross multiply
    30,570x = 41,245 × 41,245
  4. Step 4: Simplify right side
    30,570x = 1,701,150,025
  5. Step 5: Solve for x
    x = 1,701,150,025/30,570
  6. Step 6: Final answer
    x = 55,647.69

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.