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Finding the Third Proportional to 30,811 and 44,029

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Solution

The third proportional to 30,811 and 44,029 is: 62,917.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,811 : 44,029 = 44,029 : x
  2. Step 2: Convert to fraction form
    30,811/44,029 = 44,029/x
  3. Step 3: Cross multiply
    30,811x = 44,029 × 44,029
  4. Step 4: Simplify right side
    30,811x = 1,938,552,841
  5. Step 5: Solve for x
    x = 1,938,552,841/30,811
  6. Step 6: Final answer
    x = 62,917.56

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.