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Finding the Third Proportional to 24,848 and 34,736

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Solution

The third proportional to 24,848 and 34,736 is: 48,558.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,848 : 34,736 = 34,736 : x
  2. Step 2: Convert to fraction form
    24,848/34,736 = 34,736/x
  3. Step 3: Cross multiply
    24,848x = 34,736 × 34,736
  4. Step 4: Simplify right side
    24,848x = 1,206,589,696
  5. Step 5: Solve for x
    x = 1,206,589,696/24,848
  6. Step 6: Final answer
    x = 48,558.83

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.