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Finding the Third Proportional to 21,588.50 and 33,305.75

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Solution

The third proportional to 21,588.50 and 33,305.75 is: 51,382.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,588.50 : 33,305.75 = 33,305.75 : x
  2. Step 2: Convert to fraction form
    21,588.50/33,305.75 = 33,305.75/x
  3. Step 3: Cross multiply
    21,588.50x = 33,305.75 × 33,305.75
  4. Step 4: Simplify right side
    21,588.50x = 1,109,272,983.06
  5. Step 5: Solve for x
    x = 1,109,272,983.06/21,588.50
  6. Step 6: Final answer
    x = 51,382.59

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.