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Finding the Third Proportional to 19,767 and 43,689

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Solution

The third proportional to 19,767 and 43,689 is: 96,561.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,767 : 43,689 = 43,689 : x
  2. Step 2: Convert to fraction form
    19,767/43,689 = 43,689/x
  3. Step 3: Cross multiply
    19,767x = 43,689 × 43,689
  4. Step 4: Simplify right side
    19,767x = 1,908,728,721
  5. Step 5: Solve for x
    x = 1,908,728,721/19,767
  6. Step 6: Final answer
    x = 96,561.38

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.