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Finding the Third Proportional to 10,116 and 11,172

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Solution

The third proportional to 10,116 and 11,172 is: 12,338.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,116 : 11,172 = 11,172 : x
  2. Step 2: Convert to fraction form
    10,116/11,172 = 11,172/x
  3. Step 3: Cross multiply
    10,116x = 11,172 × 11,172
  4. Step 4: Simplify right side
    10,116x = 124,813,584
  5. Step 5: Solve for x
    x = 124,813,584/10,116
  6. Step 6: Final answer
    x = 12,338.23

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.