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Finding the Third Proportional to 19,764 and 43,677

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Solution

The third proportional to 19,764 and 43,677 is: 96,522.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,764 : 43,677 = 43,677 : x
  2. Step 2: Convert to fraction form
    19,764/43,677 = 43,677/x
  3. Step 3: Cross multiply
    19,764x = 43,677 × 43,677
  4. Step 4: Simplify right side
    19,764x = 1,907,680,329
  5. Step 5: Solve for x
    x = 1,907,680,329/19,764
  6. Step 6: Final answer
    x = 96,522.99

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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.