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Finding the Third Proportional to 31,489 and 44,029

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Solution

The third proportional to 31,489 and 44,029 is: 61,562.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,489 : 44,029 = 44,029 : x
  2. Step 2: Convert to fraction form
    31,489/44,029 = 44,029/x
  3. Step 3: Cross multiply
    31,489x = 44,029 × 44,029
  4. Step 4: Simplify right side
    31,489x = 1,938,552,841
  5. Step 5: Solve for x
    x = 1,938,552,841/31,489
  6. Step 6: Final answer
    x = 61,562.86

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.