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Finding the Third Proportional to 19,993 and 44,565

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Solution

The third proportional to 19,993 and 44,565 is: 99,336.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,993 : 44,565 = 44,565 : x
  2. Step 2: Convert to fraction form
    19,993/44,565 = 44,565/x
  3. Step 3: Cross multiply
    19,993x = 44,565 × 44,565
  4. Step 4: Simplify right side
    19,993x = 1,986,039,225
  5. Step 5: Solve for x
    x = 1,986,039,225/19,993
  6. Step 6: Final answer
    x = 99,336.73

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.