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Finding the Third Proportional to 21,825.75 and 33,370.13

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Solution

The third proportional to 21,825.75 and 33,370.13 is: 51,020.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,825.75 : 33,370.13 = 33,370.13 : x
  2. Step 2: Convert to fraction form
    21,825.75/33,370.13 = 33,370.13/x
  3. Step 3: Cross multiply
    21,825.75x = 33,370.13 × 33,370.13
  4. Step 4: Simplify right side
    21,825.75x = 1,113,565,242.52
  5. Step 5: Solve for x
    x = 1,113,565,242.52/21,825.75
  6. Step 6: Final answer
    x = 51,020.71

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.