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Finding the Third Proportional to 24,992 and 52,772

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Solution

The third proportional to 24,992 and 52,772 is: 111,431.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,992 : 52,772 = 52,772 : x
  2. Step 2: Convert to fraction form
    24,992/52,772 = 52,772/x
  3. Step 3: Cross multiply
    24,992x = 52,772 × 52,772
  4. Step 4: Simplify right side
    24,992x = 2,784,883,984
  5. Step 5: Solve for x
    x = 2,784,883,984/24,992
  6. Step 6: Final answer
    x = 111,431.02

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.