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Finding the Third Proportional to 21,448.97 and 32,811.75

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Solution

The third proportional to 21,448.97 and 32,811.75 is: 50,194.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,448.97 : 32,811.75 = 32,811.75 : x
  2. Step 2: Convert to fraction form
    21,448.97/32,811.75 = 32,811.75/x
  3. Step 3: Cross multiply
    21,448.97x = 32,811.75 × 32,811.75
  4. Step 4: Simplify right side
    21,448.97x = 1,076,610,938.06
  5. Step 5: Solve for x
    x = 1,076,610,938.06/21,448.97
  6. Step 6: Final answer
    x = 50,194.07

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.