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Finding the Third Proportional to 21,107.25 and 33,422.25

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Solution

The third proportional to 21,107.25 and 33,422.25 is: 52,922.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,107.25 : 33,422.25 = 33,422.25 : x
  2. Step 2: Convert to fraction form
    21,107.25/33,422.25 = 33,422.25/x
  3. Step 3: Cross multiply
    21,107.25x = 33,422.25 × 33,422.25
  4. Step 4: Simplify right side
    21,107.25x = 1,117,046,795.06
  5. Step 5: Solve for x
    x = 1,117,046,795.06/21,107.25
  6. Step 6: Final answer
    x = 52,922.42

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.