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Finding the Third Proportional to 21,924.75 and 34,170.75

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Solution

The third proportional to 21,924.75 and 34,170.75 is: 53,256.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,924.75 : 34,170.75 = 34,170.75 : x
  2. Step 2: Convert to fraction form
    21,924.75/34,170.75 = 34,170.75/x
  3. Step 3: Cross multiply
    21,924.75x = 34,170.75 × 34,170.75
  4. Step 4: Simplify right side
    21,924.75x = 1,167,640,155.56
  5. Step 5: Solve for x
    x = 1,167,640,155.56/21,924.75
  6. Step 6: Final answer
    x = 53,256.71

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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.