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Finding the Third Proportional to 22,128 and 33,195

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Solution

The third proportional to 22,128 and 33,195 is: 49,797.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,128 : 33,195 = 33,195 : x
  2. Step 2: Convert to fraction form
    22,128/33,195 = 33,195/x
  3. Step 3: Cross multiply
    22,128x = 33,195 × 33,195
  4. Step 4: Simplify right side
    22,128x = 1,101,908,025
  5. Step 5: Solve for x
    x = 1,101,908,025/22,128
  6. Step 6: Final answer
    x = 49,797.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.