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Finding the Third Proportional to 13,784 and 21,396

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Solution

The third proportional to 13,784 and 21,396 is: 33,211.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,784 : 21,396 = 21,396 : x
  2. Step 2: Convert to fraction form
    13,784/21,396 = 21,396/x
  3. Step 3: Cross multiply
    13,784x = 21,396 × 21,396
  4. Step 4: Simplify right side
    13,784x = 457,788,816
  5. Step 5: Solve for x
    x = 457,788,816/13,784
  6. Step 6: Final answer
    x = 33,211.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.