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Finding the Third Proportional to 21,895.31 and 33,035.34

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Solution

The third proportional to 21,895.31 and 33,035.34 is: 49,843.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,895.31 : 33,035.34 = 33,035.34 : x
  2. Step 2: Convert to fraction form
    21,895.31/33,035.34 = 33,035.34/x
  3. Step 3: Cross multiply
    21,895.31x = 33,035.34 × 33,035.34
  4. Step 4: Simplify right side
    21,895.31x = 1,091,333,936.68
  5. Step 5: Solve for x
    x = 1,091,333,936.68/21,895.31
  6. Step 6: Final answer
    x = 49,843.27

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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.