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Finding the Third Proportional to 5,734.50 and 12,561.75

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Solution

The third proportional to 5,734.50 and 12,561.75 is: 27,517.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,734.50 : 12,561.75 = 12,561.75 : x
  2. Step 2: Convert to fraction form
    5,734.50/12,561.75 = 12,561.75/x
  3. Step 3: Cross multiply
    5,734.50x = 12,561.75 × 12,561.75
  4. Step 4: Simplify right side
    5,734.50x = 157,797,563.06
  5. Step 5: Solve for x
    x = 157,797,563.06/5,734.50
  6. Step 6: Final answer
    x = 27,517.23

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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.