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Finding the Third Proportional to 23,684.06 and 50,650.31

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Solution

The third proportional to 23,684.06 and 50,650.31 is: 108,319.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,684.06 : 50,650.31 = 50,650.31 : x
  2. Step 2: Convert to fraction form
    23,684.06/50,650.31 = 50,650.31/x
  3. Step 3: Cross multiply
    23,684.06x = 50,650.31 × 50,650.31
  4. Step 4: Simplify right side
    23,684.06x = 2,565,454,156.35
  5. Step 5: Solve for x
    x = 2,565,454,156.35/23,684.06
  6. Step 6: Final answer
    x = 108,319.85

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.