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Finding the Third Proportional to 23,992.31 and 49,521.38

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Solution

The third proportional to 23,992.31 and 49,521.38 is: 102,214.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,992.31 : 49,521.38 = 49,521.38 : x
  2. Step 2: Convert to fraction form
    23,992.31/49,521.38 = 49,521.38/x
  3. Step 3: Cross multiply
    23,992.31x = 49,521.38 × 49,521.38
  4. Step 4: Simplify right side
    23,992.31x = 2,452,366,581.89
  5. Step 5: Solve for x
    x = 2,452,366,581.89/23,992.31
  6. Step 6: Final answer
    x = 102,214.68

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.