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Finding the Third Proportional to 24,400.69 and 33,145.03

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Solution

The third proportional to 24,400.69 and 33,145.03 is: 45,023.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,400.69 : 33,145.03 = 33,145.03 : x
  2. Step 2: Convert to fraction form
    24,400.69/33,145.03 = 33,145.03/x
  3. Step 3: Cross multiply
    24,400.69x = 33,145.03 × 33,145.03
  4. Step 4: Simplify right side
    24,400.69x = 1,098,593,096.56
  5. Step 5: Solve for x
    x = 1,098,593,096.56/24,400.69
  6. Step 6: Final answer
    x = 45,023.04

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.