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Finding the Third Proportional to 13,834 and 16,810

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Solution

The third proportional to 13,834 and 16,810 is: 20,426.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,834 : 16,810 = 16,810 : x
  2. Step 2: Convert to fraction form
    13,834/16,810 = 16,810/x
  3. Step 3: Cross multiply
    13,834x = 16,810 × 16,810
  4. Step 4: Simplify right side
    13,834x = 282,576,100
  5. Step 5: Solve for x
    x = 282,576,100/13,834
  6. Step 6: Final answer
    x = 20,426.20

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.