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Finding the Third Proportional to 19,200 and 26,336

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Solution

The third proportional to 19,200 and 26,336 is: 36,124.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,200 : 26,336 = 26,336 : x
  2. Step 2: Convert to fraction form
    19,200/26,336 = 26,336/x
  3. Step 3: Cross multiply
    19,200x = 26,336 × 26,336
  4. Step 4: Simplify right side
    19,200x = 693,584,896
  5. Step 5: Solve for x
    x = 693,584,896/19,200
  6. Step 6: Final answer
    x = 36,124.21

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.