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Finding the Third Proportional to 37,605 and 83,615

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Solution

The third proportional to 37,605 and 83,615 is: 185,918.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,605 : 83,615 = 83,615 : x
  2. Step 2: Convert to fraction form
    37,605/83,615 = 83,615/x
  3. Step 3: Cross multiply
    37,605x = 83,615 × 83,615
  4. Step 4: Simplify right side
    37,605x = 6,991,468,225
  5. Step 5: Solve for x
    x = 6,991,468,225/37,605
  6. Step 6: Final answer
    x = 185,918.58

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.