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Finding the Third Proportional to 21,728.50 and 30,993.75

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Solution

The third proportional to 21,728.50 and 30,993.75 is: 44,209.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,728.50 : 30,993.75 = 30,993.75 : x
  2. Step 2: Convert to fraction form
    21,728.50/30,993.75 = 30,993.75/x
  3. Step 3: Cross multiply
    21,728.50x = 30,993.75 × 30,993.75
  4. Step 4: Simplify right side
    21,728.50x = 960,612,539.06
  5. Step 5: Solve for x
    x = 960,612,539.06/21,728.50
  6. Step 6: Final answer
    x = 44,209.80

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.