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Finding the Third Proportional to 31,183.50 and 59,496

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Solution

The third proportional to 31,183.50 and 59,496 is: 113,514.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,183.50 : 59,496 = 59,496 : x
  2. Step 2: Convert to fraction form
    31,183.50/59,496 = 59,496/x
  3. Step 3: Cross multiply
    31,183.50x = 59,496 × 59,496
  4. Step 4: Simplify right side
    31,183.50x = 3,539,774,016
  5. Step 5: Solve for x
    x = 3,539,774,016/31,183.50
  6. Step 6: Final answer
    x = 113,514.33

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.