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Finding the Third Proportional to 21,394.50 and 33,257.81

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Solution

The third proportional to 21,394.50 and 33,257.81 is: 51,699.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,394.50 : 33,257.81 = 33,257.81 : x
  2. Step 2: Convert to fraction form
    21,394.50/33,257.81 = 33,257.81/x
  3. Step 3: Cross multiply
    21,394.50x = 33,257.81 × 33,257.81
  4. Step 4: Simplify right side
    21,394.50x = 1,106,082,092.29
  5. Step 5: Solve for x
    x = 1,106,082,092.29/21,394.50
  6. Step 6: Final answer
    x = 51,699.37

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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.