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Finding the Third Proportional to 9,706.31 and 20,999.44

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Solution

The third proportional to 9,706.31 and 20,999.44 is: 45,431.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706.31 : 20,999.44 = 20,999.44 : x
  2. Step 2: Convert to fraction form
    9,706.31/20,999.44 = 20,999.44/x
  3. Step 3: Cross multiply
    9,706.31x = 20,999.44 × 20,999.44
  4. Step 4: Simplify right side
    9,706.31x = 440,976,375.32
  5. Step 5: Solve for x
    x = 440,976,375.32/9,706.31
  6. Step 6: Final answer
    x = 45,431.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.