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Finding the Third Proportional to 13,757 and 21,356

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Solution

The third proportional to 13,757 and 21,356 is: 33,152.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,757 : 21,356 = 21,356 : x
  2. Step 2: Convert to fraction form
    13,757/21,356 = 21,356/x
  3. Step 3: Cross multiply
    13,757x = 21,356 × 21,356
  4. Step 4: Simplify right side
    13,757x = 456,078,736
  5. Step 5: Solve for x
    x = 456,078,736/13,757
  6. Step 6: Final answer
    x = 33,152.48

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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.