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Finding the Third Proportional to 9,733.50 and 20,999.25

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Solution

The third proportional to 9,733.50 and 20,999.25 is: 45,304.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,733.50 : 20,999.25 = 20,999.25 : x
  2. Step 2: Convert to fraction form
    9,733.50/20,999.25 = 20,999.25/x
  3. Step 3: Cross multiply
    9,733.50x = 20,999.25 × 20,999.25
  4. Step 4: Simplify right side
    9,733.50x = 440,968,500.56
  5. Step 5: Solve for x
    x = 440,968,500.56/9,733.50
  6. Step 6: Final answer
    x = 45,304.21

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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.