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Finding the Third Proportional to 31,969 and 59,939

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Solution

The third proportional to 31,969 and 59,939 is: 112,380.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,969 : 59,939 = 59,939 : x
  2. Step 2: Convert to fraction form
    31,969/59,939 = 59,939/x
  3. Step 3: Cross multiply
    31,969x = 59,939 × 59,939
  4. Step 4: Simplify right side
    31,969x = 3,592,683,721
  5. Step 5: Solve for x
    x = 3,592,683,721/31,969
  6. Step 6: Final answer
    x = 112,380.23

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.