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Finding the Third Proportional to 21,463.31 and 33,206.34

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Solution

The third proportional to 21,463.31 and 33,206.34 is: 51,374.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,463.31 : 33,206.34 = 33,206.34 : x
  2. Step 2: Convert to fraction form
    21,463.31/33,206.34 = 33,206.34/x
  3. Step 3: Cross multiply
    21,463.31x = 33,206.34 × 33,206.34
  4. Step 4: Simplify right side
    21,463.31x = 1,102,661,265.24
  5. Step 5: Solve for x
    x = 1,102,661,265.24/21,463.31
  6. Step 6: Final answer
    x = 51,374.24

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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.