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Finding the Third Proportional to 19,519 and 43,406

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Solution

The third proportional to 19,519 and 43,406 is: 96,525.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,519 : 43,406 = 43,406 : x
  2. Step 2: Convert to fraction form
    19,519/43,406 = 43,406/x
  3. Step 3: Cross multiply
    19,519x = 43,406 × 43,406
  4. Step 4: Simplify right side
    19,519x = 1,884,080,836
  5. Step 5: Solve for x
    x = 1,884,080,836/19,519
  6. Step 6: Final answer
    x = 96,525.48

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.