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Finding the Third Proportional to 37,336 and 80,615

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Solution

The third proportional to 37,336 and 80,615 is: 174,061.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,336 : 80,615 = 80,615 : x
  2. Step 2: Convert to fraction form
    37,336/80,615 = 80,615/x
  3. Step 3: Cross multiply
    37,336x = 80,615 × 80,615
  4. Step 4: Simplify right side
    37,336x = 6,498,778,225
  5. Step 5: Solve for x
    x = 6,498,778,225/37,336
  6. Step 6: Final answer
    x = 174,061.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.