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Finding the Third Proportional to 13,808 and 16,796

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Solution

The third proportional to 13,808 and 16,796 is: 20,430.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,808 : 16,796 = 16,796 : x
  2. Step 2: Convert to fraction form
    13,808/16,796 = 16,796/x
  3. Step 3: Cross multiply
    13,808x = 16,796 × 16,796
  4. Step 4: Simplify right side
    13,808x = 282,105,616
  5. Step 5: Solve for x
    x = 282,105,616/13,808
  6. Step 6: Final answer
    x = 20,430.59

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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.