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Finding the Third Proportional to 5,745 and 13,882.50

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Solution

The third proportional to 5,745 and 13,882.50 is: 33,546.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,745 : 13,882.50 = 13,882.50 : x
  2. Step 2: Convert to fraction form
    5,745/13,882.50 = 13,882.50/x
  3. Step 3: Cross multiply
    5,745x = 13,882.50 × 13,882.50
  4. Step 4: Simplify right side
    5,745x = 192,723,806.25
  5. Step 5: Solve for x
    x = 192,723,806.25/5,745
  6. Step 6: Final answer
    x = 33,546.35

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.