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Finding the Third Proportional to 4,323 and 10,422.75

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Solution

The third proportional to 4,323 and 10,422.75 is: 25,129.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,323 : 10,422.75 = 10,422.75 : x
  2. Step 2: Convert to fraction form
    4,323/10,422.75 = 10,422.75/x
  3. Step 3: Cross multiply
    4,323x = 10,422.75 × 10,422.75
  4. Step 4: Simplify right side
    4,323x = 108,633,717.56
  5. Step 5: Solve for x
    x = 108,633,717.56/4,323
  6. Step 6: Final answer
    x = 25,129.24

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.