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Finding the Third Proportional to 24,469.31 and 46,994.63

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Solution

The third proportional to 24,469.31 and 46,994.63 is: 90,255.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,469.31 : 46,994.63 = 46,994.63 : x
  2. Step 2: Convert to fraction form
    24,469.31/46,994.63 = 46,994.63/x
  3. Step 3: Cross multiply
    24,469.31x = 46,994.63 × 46,994.63
  4. Step 4: Simplify right side
    24,469.31x = 2,208,494,778.89
  5. Step 5: Solve for x
    x = 2,208,494,778.89/24,469.31
  6. Step 6: Final answer
    x = 90,255.69

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These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.