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Finding the Third Proportional to 21,841 and 32,727.25

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Solution

The third proportional to 21,841 and 32,727.25 is: 49,039.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,841 : 32,727.25 = 32,727.25 : x
  2. Step 2: Convert to fraction form
    21,841/32,727.25 = 32,727.25/x
  3. Step 3: Cross multiply
    21,841x = 32,727.25 × 32,727.25
  4. Step 4: Simplify right side
    21,841x = 1,071,072,892.56
  5. Step 5: Solve for x
    x = 1,071,072,892.56/21,841
  6. Step 6: Final answer
    x = 49,039.55

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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.