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Finding the Third Proportional to 24,406.31 and 50,270.63

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Solution

The third proportional to 24,406.31 and 50,270.63 is: 103,544.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,406.31 : 50,270.63 = 50,270.63 : x
  2. Step 2: Convert to fraction form
    24,406.31/50,270.63 = 50,270.63/x
  3. Step 3: Cross multiply
    24,406.31x = 50,270.63 × 50,270.63
  4. Step 4: Simplify right side
    24,406.31x = 2,527,135,737.89
  5. Step 5: Solve for x
    x = 2,527,135,737.89/24,406.31
  6. Step 6: Final answer
    x = 103,544.35

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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.