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Finding the Third Proportional to 31,014 and 67,939

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Solution

The third proportional to 31,014 and 67,939 is: 148,826.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,014 : 67,939 = 67,939 : x
  2. Step 2: Convert to fraction form
    31,014/67,939 = 67,939/x
  3. Step 3: Cross multiply
    31,014x = 67,939 × 67,939
  4. Step 4: Simplify right side
    31,014x = 4,615,707,721
  5. Step 5: Solve for x
    x = 4,615,707,721/31,014
  6. Step 6: Final answer
    x = 148,826.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.