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Finding the Third Proportional to 37,272 and 55,401

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Solution

The third proportional to 37,272 and 55,401 is: 82,347.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,272 : 55,401 = 55,401 : x
  2. Step 2: Convert to fraction form
    37,272/55,401 = 55,401/x
  3. Step 3: Cross multiply
    37,272x = 55,401 × 55,401
  4. Step 4: Simplify right side
    37,272x = 3,069,270,801
  5. Step 5: Solve for x
    x = 3,069,270,801/37,272
  6. Step 6: Final answer
    x = 82,347.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.