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Finding the Third Proportional to 10,144 and 11,200

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Solution

The third proportional to 10,144 and 11,200 is: 12,365.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,144 : 11,200 = 11,200 : x
  2. Step 2: Convert to fraction form
    10,144/11,200 = 11,200/x
  3. Step 3: Cross multiply
    10,144x = 11,200 × 11,200
  4. Step 4: Simplify right side
    10,144x = 125,440,000
  5. Step 5: Solve for x
    x = 125,440,000/10,144
  6. Step 6: Final answer
    x = 12,365.93

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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.