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Finding the Third Proportional to 9,546.75 and 20,976.19

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Solution

The third proportional to 9,546.75 and 20,976.19 is: 46,089.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,546.75 : 20,976.19 = 20,976.19 : x
  2. Step 2: Convert to fraction form
    9,546.75/20,976.19 = 20,976.19/x
  3. Step 3: Cross multiply
    9,546.75x = 20,976.19 × 20,976.19
  4. Step 4: Simplify right side
    9,546.75x = 440,000,442.04
  5. Step 5: Solve for x
    x = 440,000,442.04/9,546.75
  6. Step 6: Final answer
    x = 46,089.03

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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.