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Finding the Third Proportional to 37,605 and 80,394

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Solution

The third proportional to 37,605 and 80,394 is: 171,870.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,605 : 80,394 = 80,394 : x
  2. Step 2: Convert to fraction form
    37,605/80,394 = 80,394/x
  3. Step 3: Cross multiply
    37,605x = 80,394 × 80,394
  4. Step 4: Simplify right side
    37,605x = 6,463,195,236
  5. Step 5: Solve for x
    x = 6,463,195,236/37,605
  6. Step 6: Final answer
    x = 171,870.64

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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.