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Finding the Third Proportional to 9,529.68 and 20,533.03

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Solution

The third proportional to 9,529.68 and 20,533.03 is: 44,241.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,529.68 : 20,533.03 = 20,533.03 : x
  2. Step 2: Convert to fraction form
    9,529.68/20,533.03 = 20,533.03/x
  3. Step 3: Cross multiply
    9,529.68x = 20,533.03 × 20,533.03
  4. Step 4: Simplify right side
    9,529.68x = 421,605,131.69
  5. Step 5: Solve for x
    x = 421,605,131.69/9,529.68
  6. Step 6: Final answer
    x = 44,241.26

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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.