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Finding the Third Proportional to 5,023.25 and 10,882.75

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Solution

The third proportional to 5,023.25 and 10,882.75 is: 23,577.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,023.25 : 10,882.75 = 10,882.75 : x
  2. Step 2: Convert to fraction form
    5,023.25/10,882.75 = 10,882.75/x
  3. Step 3: Cross multiply
    5,023.25x = 10,882.75 × 10,882.75
  4. Step 4: Simplify right side
    5,023.25x = 118,434,247.56
  5. Step 5: Solve for x
    x = 118,434,247.56/5,023.25
  6. Step 6: Final answer
    x = 23,577.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.