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Finding the Third Proportional to 21,935.81 and 33,053.06

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Solution

The third proportional to 21,935.81 and 33,053.06 is: 49,804.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,935.81 : 33,053.06 = 33,053.06 : x
  2. Step 2: Convert to fraction form
    21,935.81/33,053.06 = 33,053.06/x
  3. Step 3: Cross multiply
    21,935.81x = 33,053.06 × 33,053.06
  4. Step 4: Simplify right side
    21,935.81x = 1,092,504,940.63
  5. Step 5: Solve for x
    x = 1,092,504,940.63/21,935.81
  6. Step 6: Final answer
    x = 49,804.63

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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.