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Finding the Third Proportional to 5,195 and 11,128

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Solution

The third proportional to 5,195 and 11,128 is: 23,836.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,195 : 11,128 = 11,128 : x
  2. Step 2: Convert to fraction form
    5,195/11,128 = 11,128/x
  3. Step 3: Cross multiply
    5,195x = 11,128 × 11,128
  4. Step 4: Simplify right side
    5,195x = 123,832,384
  5. Step 5: Solve for x
    x = 123,832,384/5,195
  6. Step 6: Final answer
    x = 23,836.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.