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Finding the Third Proportional to 21,107.25 and 34,512.75

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Solution

The third proportional to 21,107.25 and 34,512.75 is: 56,432.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,107.25 : 34,512.75 = 34,512.75 : x
  2. Step 2: Convert to fraction form
    21,107.25/34,512.75 = 34,512.75/x
  3. Step 3: Cross multiply
    21,107.25x = 34,512.75 × 34,512.75
  4. Step 4: Simplify right side
    21,107.25x = 1,191,129,912.56
  5. Step 5: Solve for x
    x = 1,191,129,912.56/21,107.25
  6. Step 6: Final answer
    x = 56,432.26

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.