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Finding the Third Proportional to 5,212 and 11,396

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Solution

The third proportional to 5,212 and 11,396 is: 24,917.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,212 : 11,396 = 11,396 : x
  2. Step 2: Convert to fraction form
    5,212/11,396 = 11,396/x
  3. Step 3: Cross multiply
    5,212x = 11,396 × 11,396
  4. Step 4: Simplify right side
    5,212x = 129,868,816
  5. Step 5: Solve for x
    x = 129,868,816/5,212
  6. Step 6: Final answer
    x = 24,917.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.