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Finding the Third Proportional to 11,152 and 23,756

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Solution

The third proportional to 11,152 and 23,756 is: 50,605.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,152 : 23,756 = 23,756 : x
  2. Step 2: Convert to fraction form
    11,152/23,756 = 23,756/x
  3. Step 3: Cross multiply
    11,152x = 23,756 × 23,756
  4. Step 4: Simplify right side
    11,152x = 564,347,536
  5. Step 5: Solve for x
    x = 564,347,536/11,152
  6. Step 6: Final answer
    x = 50,605.05

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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.