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Finding the Third Proportional to 37,530 and 80,312

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Solution

The third proportional to 37,530 and 80,312 is: 171,862.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,530 : 80,312 = 80,312 : x
  2. Step 2: Convert to fraction form
    37,530/80,312 = 80,312/x
  3. Step 3: Cross multiply
    37,530x = 80,312 × 80,312
  4. Step 4: Simplify right side
    37,530x = 6,450,017,344
  5. Step 5: Solve for x
    x = 6,450,017,344/37,530
  6. Step 6: Final answer
    x = 171,862.97

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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.