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Finding the Third Proportional to 10,405.75 and 22,882.75

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Solution

The third proportional to 10,405.75 and 22,882.75 is: 50,320.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,405.75 : 22,882.75 = 22,882.75 : x
  2. Step 2: Convert to fraction form
    10,405.75/22,882.75 = 22,882.75/x
  3. Step 3: Cross multiply
    10,405.75x = 22,882.75 × 22,882.75
  4. Step 4: Simplify right side
    10,405.75x = 523,620,247.56
  5. Step 5: Solve for x
    x = 523,620,247.56/10,405.75
  6. Step 6: Final answer
    x = 50,320.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.