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Finding the Third Proportional to 37,464.50 and 80,273

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Solution

The third proportional to 37,464.50 and 80,273 is: 171,996.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,464.50 : 80,273 = 80,273 : x
  2. Step 2: Convert to fraction form
    37,464.50/80,273 = 80,273/x
  3. Step 3: Cross multiply
    37,464.50x = 80,273 × 80,273
  4. Step 4: Simplify right side
    37,464.50x = 6,443,754,529
  5. Step 5: Solve for x
    x = 6,443,754,529/37,464.50
  6. Step 6: Final answer
    x = 171,996.28

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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.