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Finding the Third Proportional to 24,848 and 54,064

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Solution

The third proportional to 24,848 and 54,064 is: 117,631.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,848 : 54,064 = 54,064 : x
  2. Step 2: Convert to fraction form
    24,848/54,064 = 54,064/x
  3. Step 3: Cross multiply
    24,848x = 54,064 × 54,064
  4. Step 4: Simplify right side
    24,848x = 2,922,916,096
  5. Step 5: Solve for x
    x = 2,922,916,096/24,848
  6. Step 6: Final answer
    x = 117,631.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.