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Finding the Third Proportional to 37,273.50 and 55,404

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Solution

The third proportional to 37,273.50 and 55,404 is: 82,353.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,273.50 : 55,404 = 55,404 : x
  2. Step 2: Convert to fraction form
    37,273.50/55,404 = 55,404/x
  3. Step 3: Cross multiply
    37,273.50x = 55,404 × 55,404
  4. Step 4: Simplify right side
    37,273.50x = 3,069,603,216
  5. Step 5: Solve for x
    x = 3,069,603,216/37,273.50
  6. Step 6: Final answer
    x = 82,353.50

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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.