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Finding the Third Proportional to 19,018 and 43,717

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Solution

The third proportional to 19,018 and 43,717 is: 100,493.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,018 : 43,717 = 43,717 : x
  2. Step 2: Convert to fraction form
    19,018/43,717 = 43,717/x
  3. Step 3: Cross multiply
    19,018x = 43,717 × 43,717
  4. Step 4: Simplify right side
    19,018x = 1,911,176,089
  5. Step 5: Solve for x
    x = 1,911,176,089/19,018
  6. Step 6: Final answer
    x = 100,493.01

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.