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Finding the Third Proportional to 21,942 and 33,104.25

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Solution

The third proportional to 21,942 and 33,104.25 is: 49,944.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,942 : 33,104.25 = 33,104.25 : x
  2. Step 2: Convert to fraction form
    21,942/33,104.25 = 33,104.25/x
  3. Step 3: Cross multiply
    21,942x = 33,104.25 × 33,104.25
  4. Step 4: Simplify right side
    21,942x = 1,095,891,368.06
  5. Step 5: Solve for x
    x = 1,095,891,368.06/21,942
  6. Step 6: Final answer
    x = 49,944.92

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.