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Finding the Third Proportional to 19,243 and 41,767

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Solution

The third proportional to 19,243 and 41,767 is: 90,655.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,243 : 41,767 = 41,767 : x
  2. Step 2: Convert to fraction form
    19,243/41,767 = 41,767/x
  3. Step 3: Cross multiply
    19,243x = 41,767 × 41,767
  4. Step 4: Simplify right side
    19,243x = 1,744,482,289
  5. Step 5: Solve for x
    x = 1,744,482,289/19,243
  6. Step 6: Final answer
    x = 90,655.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.