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Finding the Third Proportional to 21,773.25 and 33,642

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Solution

The third proportional to 21,773.25 and 33,642 is: 51,980.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,773.25 : 33,642 = 33,642 : x
  2. Step 2: Convert to fraction form
    21,773.25/33,642 = 33,642/x
  3. Step 3: Cross multiply
    21,773.25x = 33,642 × 33,642
  4. Step 4: Simplify right side
    21,773.25x = 1,131,784,164
  5. Step 5: Solve for x
    x = 1,131,784,164/21,773.25
  6. Step 6: Final answer
    x = 51,980.49

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.