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Finding the Third Proportional to 21,431.94 and 33,375.01

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Solution

The third proportional to 21,431.94 and 33,375.01 is: 51,973.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,431.94 : 33,375.01 = 33,375.01 : x
  2. Step 2: Convert to fraction form
    21,431.94/33,375.01 = 33,375.01/x
  3. Step 3: Cross multiply
    21,431.94x = 33,375.01 × 33,375.01
  4. Step 4: Simplify right side
    21,431.94x = 1,113,891,016.11
  5. Step 5: Solve for x
    x = 1,113,891,016.11/21,431.94
  6. Step 6: Final answer
    x = 51,973.42

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.