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Finding the Third Proportional to 4,900 and 11,416

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Solution

The third proportional to 4,900 and 11,416 is: 26,596.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,900 : 11,416 = 11,416 : x
  2. Step 2: Convert to fraction form
    4,900/11,416 = 11,416/x
  3. Step 3: Cross multiply
    4,900x = 11,416 × 11,416
  4. Step 4: Simplify right side
    4,900x = 130,325,056
  5. Step 5: Solve for x
    x = 130,325,056/4,900
  6. Step 6: Final answer
    x = 26,596.95

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.