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Finding the Third Proportional to 25,350.75 and 32,922

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Solution

The third proportional to 25,350.75 and 32,922 is: 42,754.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,350.75 : 32,922 = 32,922 : x
  2. Step 2: Convert to fraction form
    25,350.75/32,922 = 32,922/x
  3. Step 3: Cross multiply
    25,350.75x = 32,922 × 32,922
  4. Step 4: Simplify right side
    25,350.75x = 1,083,858,084
  5. Step 5: Solve for x
    x = 1,083,858,084/25,350.75
  6. Step 6: Final answer
    x = 42,754.48

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.