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Finding the Third Proportional to 49,329 and 73,971

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Solution

The third proportional to 49,329 and 73,971 is: 110,922.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,329 : 73,971 = 73,971 : x
  2. Step 2: Convert to fraction form
    49,329/73,971 = 73,971/x
  3. Step 3: Cross multiply
    49,329x = 73,971 × 73,971
  4. Step 4: Simplify right side
    49,329x = 5,471,708,841
  5. Step 5: Solve for x
    x = 5,471,708,841/49,329
  6. Step 6: Final answer
    x = 110,922.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.