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Finding the Third Proportional to 23,920.31 and 34,240.22

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Solution

The third proportional to 23,920.31 and 34,240.22 is: 49,012.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,920.31 : 34,240.22 = 34,240.22 : x
  2. Step 2: Convert to fraction form
    23,920.31/34,240.22 = 34,240.22/x
  3. Step 3: Cross multiply
    23,920.31x = 34,240.22 × 34,240.22
  4. Step 4: Simplify right side
    23,920.31x = 1,172,392,580.05
  5. Step 5: Solve for x
    x = 1,172,392,580.05/23,920.31
  6. Step 6: Final answer
    x = 49,012.43

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.