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Finding the Third Proportional to 13,816 and 16,804

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Solution

The third proportional to 13,816 and 16,804 is: 20,438.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,816 : 16,804 = 16,804 : x
  2. Step 2: Convert to fraction form
    13,816/16,804 = 16,804/x
  3. Step 3: Cross multiply
    13,816x = 16,804 × 16,804
  4. Step 4: Simplify right side
    13,816x = 282,374,416
  5. Step 5: Solve for x
    x = 282,374,416/13,816
  6. Step 6: Final answer
    x = 20,438.22

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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.