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Finding the Third Proportional to 25,525.13 and 33,022.69

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Solution

The third proportional to 25,525.13 and 33,022.69 is: 42,722.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,525.13 : 33,022.69 = 33,022.69 : x
  2. Step 2: Convert to fraction form
    25,525.13/33,022.69 = 33,022.69/x
  3. Step 3: Cross multiply
    25,525.13x = 33,022.69 × 33,022.69
  4. Step 4: Simplify right side
    25,525.13x = 1,090,497,889.72
  5. Step 5: Solve for x
    x = 1,090,497,889.72/25,525.13
  6. Step 6: Final answer
    x = 42,722.53

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These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.