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Finding the Third Proportional to 24,734 and 54,997

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Solution

The third proportional to 24,734 and 54,997 is: 122,287.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,734 : 54,997 = 54,997 : x
  2. Step 2: Convert to fraction form
    24,734/54,997 = 54,997/x
  3. Step 3: Cross multiply
    24,734x = 54,997 × 54,997
  4. Step 4: Simplify right side
    24,734x = 3,024,670,009
  5. Step 5: Solve for x
    x = 3,024,670,009/24,734
  6. Step 6: Final answer
    x = 122,287.94

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.