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Finding the Third Proportional to 13,784 and 19,268

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Solution

The third proportional to 13,784 and 19,268 is: 26,933.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,784 : 19,268 = 19,268 : x
  2. Step 2: Convert to fraction form
    13,784/19,268 = 19,268/x
  3. Step 3: Cross multiply
    13,784x = 19,268 × 19,268
  4. Step 4: Simplify right side
    13,784x = 371,255,824
  5. Step 5: Solve for x
    x = 371,255,824/13,784
  6. Step 6: Final answer
    x = 26,933.82

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.