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Finding the Third Proportional to 11,732 and 24,989

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Solution

The third proportional to 11,732 and 24,989 is: 53,226.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,732 : 24,989 = 24,989 : x
  2. Step 2: Convert to fraction form
    11,732/24,989 = 24,989/x
  3. Step 3: Cross multiply
    11,732x = 24,989 × 24,989
  4. Step 4: Simplify right side
    11,732x = 624,450,121
  5. Step 5: Solve for x
    x = 624,450,121/11,732
  6. Step 6: Final answer
    x = 53,226.23

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.