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Finding the Third Proportional to 10,078 and 11,050

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Solution

The third proportional to 10,078 and 11,050 is: 12,115.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,078 : 11,050 = 11,050 : x
  2. Step 2: Convert to fraction form
    10,078/11,050 = 11,050/x
  3. Step 3: Cross multiply
    10,078x = 11,050 × 11,050
  4. Step 4: Simplify right side
    10,078x = 122,102,500
  5. Step 5: Solve for x
    x = 122,102,500/10,078
  6. Step 6: Final answer
    x = 12,115.75

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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.