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Finding the Third Proportional to 10,816 and 19,880

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Solution

The third proportional to 10,816 and 19,880 is: 36,539.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,816 : 19,880 = 19,880 : x
  2. Step 2: Convert to fraction form
    10,816/19,880 = 19,880/x
  3. Step 3: Cross multiply
    10,816x = 19,880 × 19,880
  4. Step 4: Simplify right side
    10,816x = 395,214,400
  5. Step 5: Solve for x
    x = 395,214,400/10,816
  6. Step 6: Final answer
    x = 36,539.79

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.