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Finding the Third Proportional to 9,756.75 and 20,992.75

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Solution

The third proportional to 9,756.75 and 20,992.75 is: 45,168.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,756.75 : 20,992.75 = 20,992.75 : x
  2. Step 2: Convert to fraction form
    9,756.75/20,992.75 = 20,992.75/x
  3. Step 3: Cross multiply
    9,756.75x = 20,992.75 × 20,992.75
  4. Step 4: Simplify right side
    9,756.75x = 440,695,552.56
  5. Step 5: Solve for x
    x = 440,695,552.56/9,756.75
  6. Step 6: Final answer
    x = 45,168.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.