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Finding the Third Proportional to 21,450 and 33,546

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Solution

The third proportional to 21,450 and 33,546 is: 52,463.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,450 : 33,546 = 33,546 : x
  2. Step 2: Convert to fraction form
    21,450/33,546 = 33,546/x
  3. Step 3: Cross multiply
    21,450x = 33,546 × 33,546
  4. Step 4: Simplify right side
    21,450x = 1,125,334,116
  5. Step 5: Solve for x
    x = 1,125,334,116/21,450
  6. Step 6: Final answer
    x = 52,463.13

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Why These Related Problems?

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