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Finding the Third Proportional to 21,822 and 32,841

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Solution

The third proportional to 21,822 and 32,841 is: 49,424.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,822 : 32,841 = 32,841 : x
  2. Step 2: Convert to fraction form
    21,822/32,841 = 32,841/x
  3. Step 3: Cross multiply
    21,822x = 32,841 × 32,841
  4. Step 4: Simplify right side
    21,822x = 1,078,531,281
  5. Step 5: Solve for x
    x = 1,078,531,281/21,822
  6. Step 6: Final answer
    x = 49,424.03

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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.